105666111536645 has 64 divisors (see below), whose sum is σ = 143777516832000. Its totient is φ = 73845220700160.

The previous prime is 105666111536633. The next prime is 105666111536683. The reversal of 105666111536645 is 546635111666501.

It is a de Polignac number, because none of the positive numbers 2^k-105666111536645 is a prime.

It is a super-2 number, since 2×105666111536645² (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 1056093581 + ... + 1056193629.

It is an arithmetic number, because the mean of its divisors is an integer number (2246523700500).

Almost surely, 2^{105666111536645} is an apocalyptic number.

It is an amenable number.

105666111536645 is a deficient number, since it is larger than the sum of its proper divisors (38111405295355).

105666111536645 is a wasteful number, since it uses less digits than its factorization.

105666111536645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103238.

The product of its (nonzero) digits is 11664000, while the sum is 56.

The spelling of 105666111536645 in words is "one hundred five trillion, six hundred sixty-six billion, one hundred eleven million, five hundred thirty-six thousand, six hundred forty-five".