105231518091 has 32 divisors (see below), whose sum is σ = 180829038080. Its totient is φ = 59234791968.

The previous prime is 105231518087. The next prime is 105231518111. The reversal of 105231518091 is 190815132501.

105231518091 is a `hidden beast` number, since 1 + 0 + 52 + 3 + 1 + 518 + 0 + 91 = 666.

It is not a de Polignac number, because 105231518091 - 2² = 105231518087 is a prime.

It is a super-2 number, since 2×105231518091² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105231518081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4142416 + ... + 4167741.

It is an arithmetic number, because the mean of its divisors is an integer number (5650907440).

Almost surely, 2^105231518091 is an apocalyptic number.

105231518091 is a deficient number, since it is larger than the sum of its proper divisors (75597519989).

105231518091 is an equidigital number, since it uses as much as digits as its factorization.

105231518091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310240 (or 8310234 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 105231518091 in words is "one hundred five billion, two hundred thirty-one million, five hundred eighteen thousand, ninety-one".