104657256200 has 192 divisors, whose sum is σ = 287038771200. Its totient is φ = 34745990400.

The previous prime is 104657256199. The next prime is 104657256229. The reversal of 104657256200 is 2652756401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5524745 + ... + 5543655.

It is an arithmetic number, because the mean of its divisors is an integer number (1494993600).

Almost surely, 2^104657256200 is an apocalyptic number.

104657256200 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 104657256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143519385600).

104657256200 is an abundant number, since it is smaller than the sum of its proper divisors (182381515000).

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

104657256200 is a wasteful number, since it uses less digits than its factorization.

104657256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19060 (or 19051 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 104657256200 in words is "one hundred four billion, six hundred fifty-seven million, two hundred fifty-six thousand, two hundred".