105600166664 has 16 divisors (see below), whose sum is σ = 200041554300. Its totient is φ = 52255752192.

The previous prime is 105600166663. The next prime is 105600166667. The reversal of 105600166664 is 466661006501.

It can be written as a sum of positive squares in 2 ways, for example, as 105597701764 + 2464900 = 324958^2 + 1570^2 .

It is a super-2 number, since 2×105600166664² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105600166663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68040569 + ... + 68042120.

Almost surely, 2^105600166664 is an apocalyptic number.

It is an amenable number.

105600166664 is a deficient number, since it is larger than the sum of its proper divisors (94441387636).

105600166664 is a wasteful number, since it uses less digits than its factorization.

105600166664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136082792 (or 136082788 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 105600166664 in words is "one hundred five billion, six hundred million, one hundred sixty-six thousand, six hundred sixty-four".