102412800400 has 45 divisors (see below), whose sum is σ = 246062130883. Its totient is φ = 40962560000.

The previous prime is 102412800389. The next prime is 102412800449. The reversal of 102412800400 is 4008214201.

The square root of 102412800400 is 320020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6054707344 + 96358093056 = 77812^2 + 310416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6392400 + ... + 6408400.

Almost surely, 2^102412800400 is an apocalyptic number.

102412800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102412800400 is the 320020-th square number.

It is an amenable number.

102412800400 is an abundant number, since it is smaller than the sum of its proper divisors (143649330483).

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

102412800400 is an frugal number, since it uses more digits than its factorization.

102412800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32020 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 102412800400 in words is "one hundred two billion, four hundred twelve million, eight hundred thousand, four hundred".