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strobogrammatic numbers
A number is called strobogrammatic if it remains the same when read upside down. Usually strobogrammatic numbers are made only of digits  $0$,  $1$,  $6$,  $8$, and  $9$.

However, since the diffusion of pocket calculators, also the digits 2 and 5 can be considered valid by some authors.

The first strobogrammatic numbers are 1, 8, 11, 69, 88, 96, 101, 111, 181, 609, 619, 689, 808, 818, 888, 906, 916, 986, 1001, 1111, 1691, 1881, 1961, 6009, 6119, 6699, 6889, 6969, 8008, 8118, 8698, 8888, 8968, 9006 more terms

Pictorial representation of remainders (mod 2, 3, ...,11) frequency. For a table of values and more details click here
remainders of strobogrammatic numbers

A graph displaying how many strobogrammatic numbers are multiples of the primes p from 2 to 71. In black the ideal line 1/p.
divisibility of strobogrammatic numbers
Useful links Wikipedia, Strobogrammatic number
OEIS, Sequence A000787
Strobogrammatic numbers can also be... (you may click on names or numbers and on + to get more values)

a-pointer 11 101 181 161111191 aban 11 69 88 + 999000000666 abundant 88 96 888 + 9990666 admirable 88 906 80108 + 99696966 alt.fact. 101 619 alternating 69 96 101 + 818181818 amenable 69 88 96 + 969986696 apocalyptic 1881 6009 6699 + 19861 arithmetic 11 69 96 + 9998666 balanced p. 688889 1068901 1681891 + 1906699061 binomial 1001 8008 brilliant 689 1691 1961 + 666808999 c.decagonal 11 101 c.octagonal 6889 69169 109181601 c.pentagonal 181 c.square 181 Carmichael 101101 Chen 11 101 181 + 69911669 congruent 69 88 96 + 9968966 constructible 96 Cunningham 101 1001 10001 + 100018000810001 Curzon 69 818 986 + 199609661 cyclic 11 69 101 + 6998669 D-number 69 111 6009 + 6911169 de Polignac 6119 10001 18881 + 69911669 deceptive 10001 11111 100001 + 11111111111 deficient 11 69 101 + 9998666 dig.balanced 11 689 818 + 199000661 Duffinian 111 689 1111 + 6998669 economical 11 101 111 + 19996661 emirp 116911 119611 169691 + 199609661 emirpimes 1691 1961 6889 + 99911666 equidigital 11 101 111 + 19996661 esthetic 101 10101 1010101 + 101010101010101 Eulerian 11 evil 96 101 111 + 1000000001 frugal 6889 69169 1998661 + 196000961 gapful 1001 1111 1881 + 96969069696 good prime 11 101 119611 happy 818 888 1881 + 9980866 Harshad 111 888 8118 + 9901691066 hex 1081801 1188811 hoax 1111 9116 168891 + 96111196 Hogben 111 10101 1001001 + 100000010000001 Honaker 111689111 160609091 166080991 + 666101999 house 8968 iban 11 101 111 + 111111 idoneal 88 inconsummate 986 6119 9116 + 996966 insolite 111 111111111 interprime 69 111 6009 + 99611966 Jacobsthal 11 Jordan-Polya 96 junction 101 111 808 + 99888866 Kaprekar 88888888 1111111111 katadrome 96 986 Lehmer 1111 101101 Lucas 11 lucky 69 111 619 + 6911169 magic 111 magnanimous 11 101 1001 metadrome 69 689 modest 69 111 609 + 1818008181 Moran 111 888 1001001 + 61996619 nialpdrome 11 88 96 + 999999986666666 nonagonal 111 nude 11 88 111 + 111111111 oban 11 69 88 + 986 octagonal 96 8008 odious 11 69 88 + 999689666 Ormiston 1619696191 palindromic 11 88 101 + 888888888888888 palprime 11 101 181 + 188888888888881 pancake 11 panconsummate 11 69 pandigital 11 88669988 91196116 partition 11 101 pentagonal 1001 pernicious 11 69 88 + 9991666 plaindrome 11 69 88 + 888888888888888 Poulet 101101 power 6889 69169 109181601 powerful 6889 69169 109181601 practical 88 96 888 + 9990666 prim.abundant 88 906 8968 + 99696966 prime 11 101 181 + 699908806669 Proth 609 pseudoperfect 88 96 888 + 999666 repdigit 11 88 111 + 888888888888888 repunit 111 1111 10101 + 111111111111111 self 916 1111 6889 + 999888666 self-describing 88888888 semiprime 69 111 689 + 99911666 sliding 11 101 1001 + 100000000000001 Smith 1111 1881 168891 + 91688916 Sophie Germain 11 16091 1881881 + 6988968869 sphenic 609 906 986 + 99988666 square 6889 69169 109181601 star 181 straight-line 111 888 1111 + 888888888888888 strong prime 11 101 18181 + 69911669 super-d 69 181 619 + 9980866 tau 88 96 808 + 969808696 twin 11 101 181 + 690181069 uban 11 69 88 + 99000096000066 Ulam 11 69 986 + 9891686 undulating 101 181 808 + 818181818181818 unprimeable 9116 80008 86098 + 9998666 untouchable 88 96 818 + 998866 wasteful 69 88 96 + 9998666 weak prime 181 619 16091 + 68969689 Zuckerman 11 111 1111 + 1111111111 Zumkeller 88 96 888 + 99066 zygodrome 11 88 111 + 999999888666666