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106211235 = 351319109263
BaseRepresentation
bin1100101010010…
…10011110100011
321101212002102110
412111022132203
5204142224420
614312250403
72426531514
oct625123643
9241762373
10106211235
1154a54089
122b6a0a03
13190099b0
141016aa0b
1594ceee0
hex654a7a3

106211235 has 64 divisors (see below), whose sum is σ = 195148800. Its totient is φ = 48895488.

The previous prime is 106211233. The next prime is 106211251. The reversal of 106211235 is 532112601.

It is not a de Polignac number, because 106211235 - 21 = 106211233 is a prime.

It is a super-2 number, since 2×1062112352 = 22561652880450450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106211233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403714 + ... + 403976.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2106211235 is an apocalyptic number.

106211235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106211235 is a deficient number, since it is larger than the sum of its proper divisors (88937565).

106211235 is a wasteful number, since it uses less digits than its factorization.

106211235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106211235 is about 10305.8835137993. The cubic root of 106211235 is about 473.5765102479.

Adding to 106211235 its reverse (532112601), we get a palindrome (638323836).

The spelling of 106211235 in words is "one hundred six million, two hundred eleven thousand, two hundred thirty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 109 195 247 263 285 327 545 741 789 1235 1315 1417 1635 2071 3419 3705 3945 4251 4997 6213 7085 10257 10355 14991 17095 21255 24985 26923 28667 31065 51285 64961 74955 80769 86001 134615 143335 194883 324805 372671 403845 430005 544673 974415 1118013 1634019 1863355 2723365 5590065 7080749 8170095 21242247 35403745 106211235