102318889478400 has 2187 divisors, whose sum is σ = 443872518108201. Its totient is φ = 23282299514880.

The previous prime is 102318889478383. The next prime is 102318889478417. The reversal of 102318889478400 is 4874988813201.

The square root of 102318889478400 is 10115280.

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

102318889478400 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 88 + 89 + 4 + 78 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (102318889478383) and next prime (102318889478417).

It can be written as a sum of positive squares in only one way, i.e., 36834800212224 + 65484089266176 = 6069168^2 + 8092224^2 .

It is a tau number, because it is divible by the number of its divisors (2187).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 458829100689 + ... + 458829100911.

Almost surely, 2^{102318889478400} is an apocalyptic number.

102318889478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102318889478400 is the 10115280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102318889478400

102318889478400 is an abundant number, since it is smaller than the sum of its proper divisors (341553628629801).

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

102318889478400 is an frugal number, since it uses more digits than its factorization.

102318889478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 102318889478400 in words is "one hundred two trillion, three hundred eighteen billion, eight hundred eighty-nine million, four hundred seventy-eight thousand, four hundred".