105566560632 has 80 divisors (see below), whose sum is σ = 318429074040. Its totient is φ = 32482016064.

The previous prime is 105566560607. The next prime is 105566560651. The reversal of 105566560632 is 236065665501.

105566560632 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 6 + 6 + 5 + 6 + 0 + 632 = 666.

It is a super-2 number, since 2×105566560632² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6257398 + ... + 6274245.

Almost surely, 2^105566560632 is an apocalyptic number.

105566560632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105566560632 is an abundant number, since it is smaller than the sum of its proper divisors (212862513408).

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

105566560632 is a wasteful number, since it uses less digits than its factorization.

105566560632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12531674 (or 12531661 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 105566560632 in words is "one hundred five billion, five hundred sixty-six million, five hundred sixty thousand, six hundred thirty-two".