102667664 has 20 divisors (see below), whose sum is σ = 217002480. Its totient is φ = 46667040.

The previous prime is 102667601. The next prime is 102667679. The reversal of 102667664 is 466766201.

It is a super-4 number, since 4×102667664⁴ (a number of 33 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291494 + ... + 291845.

It is an arithmetic number, because the mean of its divisors is an integer number (10850124).

Almost surely, 2^102667664 is an apocalyptic number.

It is an amenable number.

102667664 is an abundant number, since it is smaller than the sum of its proper divisors (114334816).

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

102667664 is a wasteful number, since it uses less digits than its factorization.

102667664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583358 (or 583352 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 102667664 is about 10132.5053170477. The cubic root of 102667664 is about 468.2501158975.

It can be divided in two parts, 102 and 667664, that added together give a palindrome (667766).

The spelling of 102667664 in words is "one hundred two million, six hundred sixty-seven thousand, six hundred sixty-four".