102882400 has 36 divisors (see below), whose sum is σ = 251163612. Its totient is φ = 41152640.

The previous prime is 102882361. The next prime is 102882433. The reversal of 102882400 is 4288201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63502 + ... + 65101.

It is an arithmetic number, because the mean of its divisors is an integer number (6976767).

Almost surely, 2^102882400 is an apocalyptic number.

102882400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102882400 is an abundant number, since it is smaller than the sum of its proper divisors (148281212).

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

102882400 is a wasteful number, since it uses less digits than its factorization.

102882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128623 (or 128610 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 102882400 is about 10143.0961742458. The cubic root of 102882400 is about 468.5763469357.

The spelling of 102882400 in words is "one hundred two million, eight hundred eighty-two thousand, four hundred".