102924400 has 30 divisors (see below), whose sum is σ = 247276832. Its totient is φ = 41169600.

The previous prime is 102924397. The next prime is 102924431. The reversal of 102924400 is 4429201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128256 + ... + 129055.

Almost surely, 2^102924400 is an apocalyptic number.

102924400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102924400 is an abundant number, since it is smaller than the sum of its proper divisors (144352432).

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

102924400 is a wasteful number, since it uses less digits than its factorization.

102924400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257329 (or 257318 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 102924400 is about 10145.1663367340. The cubic root of 102924400 is about 468.6401010509.

The spelling of 102924400 in words is "one hundred two million, nine hundred twenty-four thousand, four hundred".