105813325917 has 20 divisors (see below), whose sum is σ = 170225808060. Its totient is φ = 65115892224.

The previous prime is 105813325909. The next prime is 105813325951. The reversal of 105813325917 is 719523318501.

105813325917 is a `hidden beast` number, since 1 + 0 + 58 + 1 + 3 + 3 + 2 + 591 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19063048761 + 86750277156 = 138069^2 + 294534^2 .

It is not a de Polignac number, because 105813325917 - 2³ = 105813325909 is a prime.

It is a super-2 number, since 2×105813325917² (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 (105813325987) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50242692 + ... + 50244797.

It is an arithmetic number, because the mean of its divisors is an integer number (8511290403).

Almost surely, 2^105813325917 is an apocalyptic number.

It is an amenable number.

105813325917 is a deficient number, since it is larger than the sum of its proper divisors (64412482143).

105813325917 is a wasteful number, since it uses less digits than its factorization.

105813325917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100487514 (or 100487505 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 105813325917 in words is "one hundred five billion, eight hundred thirteen million, three hundred twenty-five thousand, nine hundred seventeen".