102068332800 has 1296 divisors, whose sum is σ = 421274286720. Its totient is φ = 21648506880.

The previous prime is 102068332763. The next prime is 102068332819. The reversal of 102068332800 is 8233860201.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1146835156 + ... + 1146835244.

It is an arithmetic number, because the mean of its divisors is an integer number (325057320).

Almost surely, 2^102068332800 is an apocalyptic number.

102068332800 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 102068332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210637143360).

102068332800 is an abundant number, since it is smaller than the sum of its proper divisors (319205953920).

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

102068332800 is a wasteful number, since it uses less digits than its factorization.

102068332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 102068332800 in words is "one hundred two billion, sixty-eight million, three hundred thirty-two thousand, eight hundred".