102312529920 has 208 divisors, whose sum is σ = 363735443520. Its totient is φ = 27283193856.

The previous prime is 102312529909. The next prime is 102312529937. The reversal of 102312529920 is 29925213201.

102312529920 is a `hidden beast` number, since 10 + 2 + 31 + 2 + 529 + 92 + 0 = 666.

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

It is a congruent number.

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, 460447 + ... + 645473.

Almost surely, 2^102312529920 is an apocalyptic number.

102312529920 is a gapful number since it is divisible by the number (10) 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 102312529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181867721760).

102312529920 is an abundant number, since it is smaller than the sum of its proper divisors (261422913600).

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

102312529920 is an equidigital number, since it uses as much as digits as its factorization.

102312529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185065 (or 185037 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 102312529920 in words is "one hundred two billion, three hundred twelve million, five hundred twenty-nine thousand, nine hundred twenty".