102363264 has 112 divisors (see below), whose sum is σ = 306029070. Its totient is φ = 34089984.

The previous prime is 102363257. The next prime is 102363329. The reversal of 102363264 is 462363201.

102363264 is a `hidden beast` number, since 1 + 0 + 23 + 632 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 7884864 = 9720^2 + 2808^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92764 + ... + 93860.

Almost surely, 2^102363264 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 102363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153014535).

102363264 is an abundant number, since it is smaller than the sum of its proper divisors (203665806).

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

102363264 is an frugal number, since it uses more digits than its factorization.

102363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 102363264 is about 10117.4732023366. The cubic root of 102363264 is about 467.7868852164.

The spelling of 102363264 in words is "one hundred two million, three hundred sixty-three thousand, two hundred sixty-four".