102172900 has 72 divisors (see below), whose sum is σ = 238984704. Its totient is φ = 37804800.

The previous prime is 102172883. The next prime is 102172919. The reversal of 102172900 is 9271201.

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 23 ways as a sum of consecutive naturals, for example, 70584 + ... + 72016.

It is an arithmetic number, because the mean of its divisors is an integer number (3319232).

Almost surely, 2^102172900 is an apocalyptic number.

102172900 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 102172900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119492352).

102172900 is an abundant number, since it is smaller than the sum of its proper divisors (136811804).

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

102172900 is a wasteful number, since it uses less digits than its factorization.

102172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 102172900 is about 10108.0611395064. The cubic root of 102172900 is about 467.4967256484.

The spelling of 102172900 in words is "one hundred two million, one hundred seventy-two thousand, nine hundred".