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108125456 = 24291991171
BaseRepresentation
bin1100111000111…
…01110100010000
321112110100020112
412130131310100
5210140003311
614421300452
72452023365
oct634356420
9245410215
10108125456
115604128a
1230264728
131952a07a
141050846c
15975c28b
hex671dd10

108125456 has 40 divisors (see below), whose sum is σ = 217992000. Its totient is φ = 51891840.

The previous prime is 108125441. The next prime is 108125467. The reversal of 108125456 is 654521801.

It is a super-2 number, since 2×1081254562 = 23382228470415872, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 91751 + ... + 92921.

It is an arithmetic number, because the mean of its divisors is an integer number (5449800).

Almost surely, 2108125456 is an apocalyptic number.

108125456 is a gapful number since it is divisible by the number (16) 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 108125456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108996000).

108125456 is an abundant number, since it is smaller than the sum of its proper divisors (109866544).

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

108125456 is a wasteful number, since it uses less digits than its factorization.

108125456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 108125456 is about 10398.3390981445. The cubic root of 108125456 is about 476.4046414457.

The spelling of 108125456 in words is "one hundred eight million, one hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 199 232 398 464 796 1171 1592 2342 3184 4684 5771 9368 11542 18736 23084 33959 46168 67918 92336 135836 233029 271672 466058 543344 932116 1864232 3728464 6757841 13515682 27031364 54062728 108125456