102920976 has 160 divisors (see below), whose sum is σ = 312122880. Its totient is φ = 32431104.

The previous prime is 102920959. The next prime is 102920981. The reversal of 102920976 is 679029201.

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 102920976.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751180 + ... + 751316.

It is an arithmetic number, because the mean of its divisors is an integer number (1950768).

Almost surely, 2^102920976 is an apocalyptic number.

102920976 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 102920976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156061440).

102920976 is an abundant number, since it is smaller than the sum of its proper divisors (209201904).

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

102920976 is a wasteful number, since it uses less digits than its factorization.

102920976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 102920976 is about 10144.9975850170. The cubic root of 102920976 is about 468.6349042220.

The spelling of 102920976 in words is "one hundred two million, nine hundred twenty thousand, nine hundred seventy-six".