102656664 has 96 divisors (see below), whose sum is σ = 305173440. Its totient is φ = 30916800.

The previous prime is 102656651. The next prime is 102656681. The reversal of 102656664 is 466656201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179499 + ... + 180069.

It is an arithmetic number, because the mean of its divisors is an integer number (3178890).

Almost surely, 2^102656664 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 102656664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152586720).

102656664 is an abundant number, since it is smaller than the sum of its proper divisors (202516776).

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

102656664 is a wasteful number, since it uses less digits than its factorization.

102656664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 102656664 is about 10131.9624949957. The cubic root of 102656664 is about 468.2333922442.

The spelling of 102656664 in words is "one hundred two million, six hundred fifty-six thousand, six hundred sixty-four".