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107106324 = 223131740387
BaseRepresentation
bin1100110001001…
…01000000010100
321110112120020220
412120211000110
5204404400244
614343354340
72440250223
oct630450024
9243476226
10107106324
1155505626
122ba529b0
1319261230
1410320cba
15960a319
hex6625014

107106324 has 48 divisors (see below), whose sum is σ = 284977728. Its totient is φ = 31016448.

The previous prime is 107106323. The next prime is 107106353. The reversal of 107106324 is 423601701.

It is a super-2 number, since 2×1071063242 = 22943529281585952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107106294 and 107106303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107106323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17542 + ... + 22845.

It is an arithmetic number, because the mean of its divisors is an integer number (5937036).

Almost surely, 2107106324 is an apocalyptic number.

It is an amenable number.

107106324 is an abundant number, since it is smaller than the sum of its proper divisors (177871404).

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

107106324 is a wasteful number, since it uses less digits than its factorization.

107106324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40424 (or 40422 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 107106324 is about 10349.2185212218. The cubic root of 107106324 is about 474.9031366661.

The spelling of 107106324 in words is "one hundred seven million, one hundred six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 40387 80774 121161 161548 242322 484644 525031 686579 1050062 1373158 1575093 2059737 2100124 2746316 3150186 4119474 6300372 8238948 8925527 17851054 26776581 35702108 53553162 107106324