105661685107 has 48 divisors (see below), whose sum is σ = 125857751040. Its totient is φ = 88365816000.

The previous prime is 105661685083. The next prime is 105661685117. The reversal of 105661685107 is 701586166501.

It is not a de Polignac number, because 105661685107 - 2¹⁵ = 105661652339 is a prime.

It is a super-2 number, since 2×105661685107² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105661685117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21869182 + ... + 21874012.

It is an arithmetic number, because the mean of its divisors is an integer number (2622036480).

Almost surely, 2^105661685107 is an apocalyptic number.

105661685107 is a deficient number, since it is larger than the sum of its proper divisors (20196065933).

105661685107 is a wasteful number, since it uses less digits than its factorization.

105661685107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 105661685107 in words is "one hundred five billion, six hundred sixty-one million, six hundred eighty-five thousand, one hundred seven".