102484800 has 252 divisors, whose sum is σ = 397983456. Its totient is φ = 24806400.

The previous prime is 102484799. The next prime is 102484843. The reversal of 102484800 is 8484201.

102484800 is a `hidden beast` number, since 102 + 484 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158077 + ... + 158723.

Almost surely, 2^102484800 is an apocalyptic number.

102484800 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 102484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198991728).

102484800 is an abundant number, since it is smaller than the sum of its proper divisors (295498656).

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

102484800 is a wasteful number, since it uses less digits than its factorization.

102484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102484800 is about 10123.4776633329. The cubic root of 102484800 is about 467.9719465981.

The spelling of 102484800 in words is "one hundred two million, four hundred eighty-four thousand, eight hundred".