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106261104 = 24323293319
BaseRepresentation
bin1100101010101…
…10101001110000
321101221121211110
412111112221300
5204200323404
614313313320
72430130065
oct625265160
9241847743
10106261104
1154a885a4
122b705840
13190265c1
1410180c6c
1594deb89
hex6556a70

106261104 has 80 divisors (see below), whose sum is σ = 296409600. Its totient is φ = 32702208.

The previous prime is 106261097. The next prime is 106261109. The reversal of 106261104 is 401162601.

It is a super-2 number, since 2×1062611042 = 22582844446597632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106261109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30357 + ... + 33675.

It is an arithmetic number, because the mean of its divisors is an integer number (3705120).

Almost surely, 2106261104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106261104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148204800).

106261104 is an abundant number, since it is smaller than the sum of its proper divisors (190148496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106261104 is a wasteful number, since it uses less digits than its factorization.

106261104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106261104 is about 10308.3026730883. The cubic root of 106261104 is about 473.6506175735.

The spelling of 106261104 in words is "one hundred six million, two hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1104 1334 1392 2001 2668 3319 4002 5336 6638 8004 9957 10672 13276 16008 19914 26552 32016 39828 53104 76337 79656 96251 152674 159312 192502 229011 288753 305348 385004 458022 577506 610696 770008 916044 1155012 1221392 1540016 1832088 2213773 2310024 3664176 4427546 4620048 6641319 8855092 13282638 17710184 26565276 35420368 53130552 106261104