102716872320 has 256 divisors, whose sum is σ = 347062164480. Its totient is φ = 25750732800.

The previous prime is 102716872319. The next prime is 102716872387. The reversal of 102716872320 is 23278617201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52647345 + ... + 52649295.

It is an arithmetic number, because the mean of its divisors is an integer number (1355711580).

Almost surely, 2^102716872320 is an apocalyptic number.

102716872320 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 102716872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173531082240).

102716872320 is an abundant number, since it is smaller than the sum of its proper divisors (244345292160).

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

102716872320 is a wasteful number, since it uses less digits than its factorization.

102716872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 102716872320 in words is "one hundred two billion, seven hundred sixteen million, eight hundred seventy-two thousand, three hundred twenty".