102484400 has 30 divisors (see below), whose sum is σ = 246219732. Its totient is φ = 40993600.

The previous prime is 102484399. The next prime is 102484411. The reversal of 102484400 is 4484201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127706 + ... + 128505.

Almost surely, 2^102484400 is an apocalyptic number.

102484400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102484400 is an abundant number, since it is smaller than the sum of its proper divisors (143735332).

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

102484400 is a wasteful number, since it uses less digits than its factorization.

102484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256229 (or 256218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 102484400 is about 10123.4579072568. The cubic root of 102484400 is about 467.9713377630.

The spelling of 102484400 in words is "one hundred two million, four hundred eighty-four thousand, four hundred".