102580864 has 32 divisors (see below), whose sum is σ = 208229940. Its totient is φ = 50319360.

The previous prime is 102580853. The next prime is 102580889. The reversal of 102580864 is 468085201.

It can be written as a sum of positive squares in 2 ways, for example, as 102414400 + 166464 = 10120^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 777 + ... + 14344.

Almost surely, 2^102580864 is an apocalyptic number.

It is an amenable number.

102580864 is an abundant number, since it is smaller than the sum of its proper divisors (105649076).

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

102580864 is an equidigital number, since it uses as much as digits as its factorization.

102580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15188 (or 15176 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 102580864 is about 10128.2211666215. The cubic root of 102580864 is about 468.1181185772.

The spelling of 102580864 in words is "one hundred two million, five hundred eighty thousand, eight hundred sixty-four".