105807668832 has 36 divisors (see below), whose sum is σ = 300890559060. Its totient is φ = 35269222848.

The previous prime is 105807668831. The next prime is 105807668843. The reversal of 105807668832 is 238866708501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105807668832² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105807668831) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183693582 + ... + 183694157.

It is an arithmetic number, because the mean of its divisors is an integer number (8358071085).

Almost surely, 2^105807668832 is an apocalyptic number.

105807668832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105807668832 is an abundant number, since it is smaller than the sum of its proper divisors (195082890228).

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

105807668832 is a wasteful number, since it uses less digits than its factorization.

105807668832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367387755 (or 367387744 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 105807668832 in words is "one hundred five billion, eight hundred seven million, six hundred sixty-eight thousand, eight hundred thirty-two".