105685432965 has 64 divisors (see below), whose sum is σ = 221652664320. Its totient is φ = 46754832960.

The previous prime is 105685432891. The next prime is 105685433017. The reversal of 105685432965 is 569234586501.

105685432965 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 8 + 543 + 2 + 96 + 5 = 666.

It is not a de Polignac number, because 105685432965 - 2⁸ = 105685432709 is a prime.

It is a super-2 number, since 2×105685432965² (a number of 23 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, 1774519 + ... + 1833108.

It is an arithmetic number, because the mean of its divisors is an integer number (3463322880).

Almost surely, 2^105685432965 is an apocalyptic number.

105685432965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105685432965 is an abundant number, since it is smaller than the sum of its proper divisors (115967231355).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105685432965 is a wasteful number, since it uses less digits than its factorization.

105685432965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607679 (or 3607673 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 105685432965 in words is "one hundred five billion, six hundred eighty-five million, four hundred thirty-two thousand, nine hundred sixty-five".