102172164 has 48 divisors (see below), whose sum is σ = 254862720. Its totient is φ = 31778560.

The previous prime is 102172157. The next prime is 102172199. The reversal of 102172164 is 461271201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6802 + ... + 15830.

It is an arithmetic number, because the mean of its divisors is an integer number (5309640).

Almost surely, 2^102172164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102172164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127431360).

102172164 is an abundant number, since it is smaller than the sum of its proper divisors (152690556).

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

102172164 is a wasteful number, since it uses less digits than its factorization.

102172164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9098 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 102172164 is about 10108.0247328546. The cubic root of 102172164 is about 467.4956031119.

The spelling of 102172164 in words is "one hundred two million, one hundred seventy-two thousand, one hundred sixty-four".