102479664 has 160 divisors (see below), whose sum is σ = 318979584. Its totient is φ = 27740160.

The previous prime is 102479659. The next prime is 102479681. The reversal of 102479664 is 466974201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592282 + ... + 592454.

Almost surely, 2^102479664 is an apocalyptic number.

102479664 is a gapful number since it is divisible by the number (14) 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 102479664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159489792).

102479664 is an abundant number, since it is smaller than the sum of its proper divisors (216499920).

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

102479664 is a wasteful number, since it uses less digits than its factorization.

102479664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 102479664 is about 10123.2239923850. The cubic root of 102479664 is about 467.9641290353.

The spelling of 102479664 in words is "one hundred two million, four hundred seventy-nine thousand, six hundred sixty-four".