102364680 has 64 divisors (see below), whose sum is σ = 335016000. Its totient is φ = 24815360.

The previous prime is 102364679. The next prime is 102364699. The reversal of 102364680 is 86463201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37455 + ... + 40094.

It is an arithmetic number, because the mean of its divisors is an integer number (5234625).

Almost surely, 2^102364680 is an apocalyptic number.

102364680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102364680 is an abundant number, since it is smaller than the sum of its proper divisors (232651320).

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

102364680 is a wasteful number, since it uses less digits than its factorization.

102364680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77574 (or 77570 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 102364680 is about 10117.5431800413. The cubic root of 102364680 is about 467.7890421855.

It can be divided in two parts, 1023 and 64680, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 102364680 in words is "one hundred two million, three hundred sixty-four thousand, six hundred eighty".