102664296 has 192 divisors, whose sum is σ = 341452800. Its totient is φ = 27216000.

The previous prime is 102664291. The next prime is 102664297. The reversal of 102664296 is 692466201.

102664296 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 642 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102664296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102664291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679821 + ... + 679971.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 2^102664296 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 102664296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

102664296 is an abundant number, since it is smaller than the sum of its proper divisors (238788504).

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

102664296 is a wasteful number, since it uses less digits than its factorization.

102664296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 102664296 is about 10132.3391178938. The cubic root of 102664296 is about 468.2449955458.

The spelling of 102664296 in words is "one hundred two million, six hundred sixty-four thousand, two hundred ninety-six".