105564531566 has 32 divisors (see below), whose sum is σ = 177968363328. Its totient is φ = 46596718080.

The previous prime is 105564531557. The next prime is 105564531577. The reversal of 105564531566 is 665135465501.

It is a super-2 number, since 2×105564531566² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105564531566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7600220 + ... + 7614096.

It is an arithmetic number, because the mean of its divisors is an integer number (5561511354).

Almost surely, 2^105564531566 is an apocalyptic number.

105564531566 is a deficient number, since it is larger than the sum of its proper divisors (72403831762).

105564531566 is a wasteful number, since it uses less digits than its factorization.

105564531566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26636.

The product of its (nonzero) digits is 1620000, while the sum is 47.

The spelling of 105564531566 in words is "one hundred five billion, five hundred sixty-four million, five hundred thirty-one thousand, five hundred sixty-six".