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108122920 = 235191131259
BaseRepresentation
bin1100111000111…
…01001100101000
321112110012202121
412130131030220
5210134413140
614421241024
72452013113
oct634351450
9245405677
10108122920
115603a394
1230263174
1319528b79
141050757a
15975b64a
hex671d328

108122920 has 64 divisors (see below), whose sum is σ = 258552000. Its totient is φ = 40578048.

The previous prime is 108122909. The next prime is 108122921. The reversal of 108122920 is 29221801.

It is not an unprimeable number, because it can be changed into a prime (108122921) 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, 85251 + ... + 86509.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2108122920 is an apocalyptic number.

108122920 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 108122920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

108122920 is an abundant number, since it is smaller than the sum of its proper divisors (150429080).

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

108122920 is a wasteful number, since it uses less digits than its factorization.

108122920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 108122920 is about 10398.2171548780. The cubic root of 108122920 is about 476.4009168476.

The spelling of 108122920 in words is "one hundred eight million, one hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 380 452 565 760 904 1130 1259 2147 2260 2518 4294 4520 5036 6295 8588 10072 10735 12590 17176 21470 23921 25180 42940 47842 50360 85880 95684 119605 142267 191368 239210 284534 478420 569068 711335 956840 1138136 1422670 2703073 2845340 5406146 5690680 10812292 13515365 21624584 27030730 54061460 108122920