102871200 has 72 divisors (see below), whose sum is σ = 334853568. Its totient is φ = 27431680.

The previous prime is 102871177. The next prime is 102871253. The reversal of 102871200 is 2178201.

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, 19032 + ... + 23831.

It is an arithmetic number, because the mean of its divisors is an integer number (4650744).

Almost surely, 2^102871200 is an apocalyptic number.

102871200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102871200 is an abundant number, since it is smaller than the sum of its proper divisors (231982368).

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

102871200 is a wasteful number, since it uses less digits than its factorization.

102871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42886 (or 42873 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 102871200 is about 10142.5440595543. The cubic root of 102871200 is about 468.5593429080.

The spelling of 102871200 in words is "one hundred two million, eight hundred seventy-one thousand, two hundred".