102056976 has 80 divisors (see below), whose sum is σ = 334800000. Its totient is φ = 29158272.

The previous prime is 102056971. The next prime is 102057041. The reversal of 102056976 is 679650201.

102056976 is a `hidden beast` number, since 1 + 0 + 20 + 569 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102056976.

It is not an unprimeable number, because it can be changed into a prime (102056971) 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, 13851 + ... + 19898.

It is an arithmetic number, because the mean of its divisors is an integer number (4185000).

Almost surely, 2^102056976 is an apocalyptic number.

102056976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102056976 is an abundant number, since it is smaller than the sum of its proper divisors (232743024).

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

102056976 is a wasteful number, since it uses less digits than its factorization.

102056976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33773 (or 33761 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 102056976 is about 10102.3252768855. The cubic root of 102056976 is about 467.3198535707.

The spelling of 102056976 in words is "one hundred two million, fifty-six thousand, nine hundred seventy-six".