102399600 has 60 divisors (see below), whose sum is σ = 328023896. Its totient is φ = 27306240.

The previous prime is 102399599. The next prime is 102399617. The reversal of 102399600 is 6993201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 41467 + ... + 43866.

Almost surely, 2^102399600 is an apocalyptic number.

102399600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102399600 is an abundant number, since it is smaller than the sum of its proper divisors (225624296).

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

102399600 is a wasteful number, since it uses less digits than its factorization.

102399600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85354 (or 85343 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 102399600 is about 10119.2687482841. The cubic root of 102399600 is about 467.8422289429.

The spelling of 102399600 in words is "one hundred two million, three hundred ninety-nine thousand, six hundred".