101566056564 has 72 divisors (see below), whose sum is σ = 297792401088. Its totient is φ = 28585751040.

The previous prime is 101566056563. The next prime is 101566056587. The reversal of 101566056564 is 465650665101.

101566056564 is a `hidden beast` number, since 10 + 15 + 6 + 6 + 0 + 565 + 64 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101566056563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2990877 + ... + 3024644.

Almost surely, 2^101566056564 is an apocalyptic number.

101566056564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101566056564 is an abundant number, since it is smaller than the sum of its proper divisors (196226344524).

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

101566056564 is a wasteful number, since it uses less digits than its factorization.

101566056564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015605 (or 6015600 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 101566056564 in words is "one hundred one billion, five hundred sixty-six million, fifty-six thousand, five hundred sixty-four".