102982800 has 60 divisors (see below), whose sum is σ = 329892080. Its totient is φ = 27461760.

The previous prime is 102982777. The next prime is 102982861. The reversal of 102982800 is 8289201.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41710 + ... + 44109.

Almost surely, 2^102982800 is an apocalyptic number.

102982800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102982800 is an abundant number, since it is smaller than the sum of its proper divisors (226909280).

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

102982800 is a wasteful number, since it uses less digits than its factorization.

102982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85840 (or 85829 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 102982800 is about 10148.0441465339. The cubic root of 102982800 is about 468.7287208118.

The spelling of 102982800 in words is "one hundred two million, nine hundred eighty-two thousand, eight hundred".