105807585957 has 4 divisors (see below), whose sum is σ = 141076781280. Its totient is φ = 70538390636.

The previous prime is 105807585941. The next prime is 105807585979. The reversal of 105807585957 is 759585708501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105807585957 - 2⁴ = 105807585941 is a prime.

It is a super-2 number, since 2×105807585957² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105807585957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105807586957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17634597657 + ... + 17634597662.

It is an arithmetic number, because the mean of its divisors is an integer number (35269195320).

Almost surely, 2^105807585957 is an apocalyptic number.

It is an amenable number.

105807585957 is a deficient number, since it is larger than the sum of its proper divisors (35269195323).

105807585957 is an equidigital number, since it uses as much as digits as its factorization.

105807585957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35269195322.

The product of its (nonzero) digits is 17640000, while the sum is 60.

The spelling of 105807585957 in words is "one hundred five billion, eight hundred seven million, five hundred eighty-five thousand, nine hundred fifty-seven".