105097090917 has 32 divisors (see below), whose sum is σ = 174650183680. Its totient is φ = 54734097600.

The previous prime is 105097090883. The next prime is 105097090961. The reversal of 105097090917 is 719090790501.

It is a happy number.

It is not a de Polignac number, because 105097090917 - 2²⁷ = 104962873189 is a prime.

It is a super-2 number, since 2×105097090917² (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 (105097090117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2414959 + ... + 2458092.

It is an arithmetic number, because the mean of its divisors is an integer number (5457818240).

Almost surely, 2^105097090917 is an apocalyptic number.

It is an amenable number.

105097090917 is a deficient number, since it is larger than the sum of its proper divisors (69553092763).

105097090917 is a wasteful number, since it uses less digits than its factorization.

105097090917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873153.

The product of its (nonzero) digits is 178605, while the sum is 48.

The spelling of 105097090917 in words is "one hundred five billion, ninety-seven million, ninety thousand, nine hundred seventeen".