102172664 has 32 divisors (see below), whose sum is σ = 210608640. Its totient is φ = 46082400.

The previous prime is 102172661. The next prime is 102172667. The reversal of 102172664 is 466271201.

It is an interprime number because it is at equal distance from previous prime (102172661) and next prime (102172667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102172661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7097 + ... + 15959.

It is an arithmetic number, because the mean of its divisors is an integer number (6581520).

Almost surely, 2^102172664 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 102172664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105304320).

102172664 is an abundant number, since it is smaller than the sum of its proper divisors (108435976).

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

102172664 is a wasteful number, since it uses less digits than its factorization.

102172664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9011 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 102172664 is about 10108.0494656487. The cubic root of 102172664 is about 467.4963657052.

The spelling of 102172664 in words is "one hundred two million, one hundred seventy-two thousand, six hundred sixty-four".