102604902400 has 1053 divisors, whose sum is σ = 352270443483. Its totient is φ = 29520691200.

The previous prime is 102604902397. The next prime is 102604902401. The reversal of 102604902400 is 4209406201.

The square root of 102604902400 is 320320.

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 26446565376 + 76158337024 = 162624^2 + 275968^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (102604902401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7892684794 + ... + 7892684806.

Almost surely, 2^102604902400 is an apocalyptic number.

102604902400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102604902400 is the 320320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102604902400

102604902400 is an abundant number, since it is smaller than the sum of its proper divisors (249665541083).

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

102604902400 is a wasteful number, since it uses less digits than its factorization.

102604902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 102604902400 in words is "one hundred two billion, six hundred four million, nine hundred two thousand, four hundred".