102866400 has 432 divisors, whose sum is σ = 449283744. Its totient is φ = 21565440.

The previous prime is 102866389. The next prime is 102866479. The reversal of 102866400 is 4668201.

102866400 is a `hidden beast` number, since 10 + 2 + 8 + 6 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655122 + ... + 655278.

Almost surely, 2^102866400 is an apocalyptic number.

102866400 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 102866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224641872).

102866400 is an abundant number, since it is smaller than the sum of its proper divisors (346417344).

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

102866400 is a wasteful number, since it uses less digits than its factorization.

102866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102866400 is about 10142.3074297716. The cubic root of 102866400 is about 468.5520550898.

The spelling of 102866400 in words is "one hundred two million, eight hundred sixty-six thousand, four hundred".