105360646131 has 16 divisors (see below), whose sum is σ = 168096757920. Its totient is φ = 64837320480.

The previous prime is 105360646129. The next prime is 105360646159. The reversal of 105360646131 is 131646063501.

105360646131 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 0 + 646 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 105360646131 - 2¹ = 105360646129 is a prime.

It is a super-2 number, since 2×105360646131² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105360646121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150086040 + ... + 150086741.

It is an arithmetic number, because the mean of its divisors is an integer number (10506047370).

Almost surely, 2^105360646131 is an apocalyptic number.

105360646131 is a deficient number, since it is larger than the sum of its proper divisors (62736111789).

105360646131 is a wasteful number, since it uses less digits than its factorization.

105360646131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300172803 (or 300172797 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 105360646131 in words is "one hundred five billion, three hundred sixty million, six hundred forty-six thousand, one hundred thirty-one".