102321938400 has 288 divisors, whose sum is σ = 364742155008. Its totient is φ = 24709324800.

The previous prime is 102321938377. The next prime is 102321938417. The reversal of 102321938400 is 4839123201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6935832 + ... + 6950568.

It is an arithmetic number, because the mean of its divisors is an integer number (1266465816).

Almost surely, 2^102321938400 is an apocalyptic number.

102321938400 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 102321938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182371077504).

102321938400 is an abundant number, since it is smaller than the sum of its proper divisors (262420216608).

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

102321938400 is a wasteful number, since it uses less digits than its factorization.

102321938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15034 (or 15021 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 102321938400 in words is "one hundred two billion, three hundred twenty-one million, nine hundred thirty-eight thousand, four hundred".