102564344232 has 320 divisors, whose sum is σ = 332711280000. Its totient is φ = 28914278400.

The previous prime is 102564344221. The next prime is 102564344237. The reversal of 102564344232 is 232443465201.

102564344232 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 643 + 4 + 4 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102564344237) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 205539519 + ... + 205540017.

It is an arithmetic number, because the mean of its divisors is an integer number (1039722750).

Almost surely, 2^102564344232 is an apocalyptic number.

102564344232 is a gapful number since it is divisible by the number (12) 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 102564344232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166355640000).

102564344232 is an abundant number, since it is smaller than the sum of its proper divisors (230146935768).

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

102564344232 is a wasteful number, since it uses less digits than its factorization.

102564344232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 102564344232 in words is "one hundred two billion, five hundred sixty-four million, three hundred forty-four thousand, two hundred thirty-two".