102684864 has 56 divisors (see below), whose sum is σ = 272875248. Its totient is φ = 34078720.

The previous prime is 102684863. The next prime is 102684877. The reversal of 102684864 is 468486201.

It is not an unprimeable number, because it can be changed into a prime (102684863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48304 + ... + 50384.

Almost surely, 2^102684864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136437624).

102684864 is an abundant number, since it is smaller than the sum of its proper divisors (170190384).

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

102684864 is a wasteful number, since it uses less digits than its factorization.

102684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 102684864 is about 10133.3540350666. The cubic root of 102684864 is about 468.2762632158.

The spelling of 102684864 in words is "one hundred two million, six hundred eighty-four thousand, eight hundred sixty-four".