102564051616 has 48 divisors (see below), whose sum is σ = 226910121984. Its totient is φ = 45279108864.

The previous prime is 102564051581. The next prime is 102564051643. The reversal of 102564051616 is 616150465201.

It is a super-2 number, since 2×102564051616² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5350176 + ... + 5369311.

It is an arithmetic number, because the mean of its divisors is an integer number (4727294208).

Almost surely, 2^102564051616 is an apocalyptic number.

102564051616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102564051616 is an abundant number, since it is smaller than the sum of its proper divisors (124346070368).

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

102564051616 is a wasteful number, since it uses less digits than its factorization.

102564051616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719533 (or 10719525 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 102564051616 in words is "one hundred two billion, five hundred sixty-four million, fifty-one thousand, six hundred sixteen".