102593800 has 48 divisors (see below), whose sum is σ = 248912640. Its totient is φ = 39251520.

The previous prime is 102593797. The next prime is 102593833. The reversal of 102593800 is 8395201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6552 + ... + 15751.

It is an arithmetic number, because the mean of its divisors is an integer number (5185680).

Almost surely, 2^102593800 is an apocalyptic number.

102593800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102593800 is an abundant number, since it is smaller than the sum of its proper divisors (146318840).

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

102593800 is a wasteful number, since it uses less digits than its factorization.

102593800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22342 (or 22333 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 102593800 is about 10128.8597581366. The cubic root of 102593800 is about 468.1377951563.

The spelling of 102593800 in words is "one hundred two million, five hundred ninety-three thousand, eight hundred".