102204892800 has 480 divisors, whose sum is σ = 387388351020. Its totient is φ = 26515537920.

The previous prime is 102204892781. The next prime is 102204892831. The reversal of 102204892800 is 8298402201.

It can be written as a sum of positive squares in 6 ways, for example, as 32115507264 + 70089385536 = 179208^2 + 264744^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×102204892800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9585072 + ... + 9595728.

Almost surely, 2^102204892800 is an apocalyptic number.

102204892800 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 102204892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193694175510).

102204892800 is an abundant number, since it is smaller than the sum of its proper divisors (285183458220).

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

102204892800 is a wasteful number, since it uses less digits than its factorization.

102204892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 102204892800 in words is "one hundred two billion, two hundred four million, eight hundred ninety-two thousand, eight hundred".