102572800 has 216 divisors, whose sum is σ = 291981312. Its totient is φ = 35328000.

The previous prime is 102572749. The next prime is 102572807. The reversal of 102572800 is 8275201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (102572807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2182377 + ... + 2182423.

Almost surely, 2^102572800 is an apocalyptic number.

102572800 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 102572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990656).

102572800 is an abundant number, since it is smaller than the sum of its proper divisors (189408512).

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

102572800 is a wasteful number, since it uses less digits than its factorization.

102572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 102572800 is about 10127.8230632254. The cubic root of 102572800 is about 468.1058518207.

The spelling of 102572800 in words is "one hundred two million, five hundred seventy-two thousand, eight hundred".