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108106960 = 24513195471
BaseRepresentation
bin1100111000110…
…01010011010000
321112102101212111
412130121103100
5210133410320
614421035104
72451615433
oct634312320
9245371774
10108106960
11560293a5
1230255a94
1319521820
141050181a
159756a5a
hex67194d0

108106960 has 80 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 37808640.

The previous prime is 108106931. The next prime is 108106981. The reversal of 108106960 is 69601801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1081069602 = 23374229600883200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17025 + ... + 22495.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2108106960 is an apocalyptic number.

108106960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

108106960 is an abundant number, since it is smaller than the sum of its proper divisors (176874800).

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

108106960 is a wasteful number, since it uses less digits than its factorization.

108106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 108106960 is about 10397.4496873031. The cubic root of 108106960 is about 476.3774752166.

The spelling of 108106960 in words is "one hundred eight million, one hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 5471 9880 10942 19760 21884 27355 43768 54710 71123 87536 103949 109420 142246 207898 218840 284492 355615 415796 437680 519745 568984 711230 831592 1039490 1137968 1351337 1422460 1663184 2078980 2702674 2844920 4157960 5405348 5689840 6756685 8315920 10810696 13513370 21621392 27026740 54053480 108106960