11105910690017 has 16 divisors (see below), whose sum is σ = 13047603871680. Its totient is φ = 9319573617600.

The previous prime is 11105910689941. The next prime is 11105910690029. The reversal of 11105910690017 is 71009601950111.

It is a cyclic number.

It is not a de Polignac number, because 11105910690017 - 2⁸ = 11105910689761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11105910690047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27106667 + ... + 27513327.

It is an arithmetic number, because the mean of its divisors is an integer number (815475241980).

Almost surely, 2^{11105910690017} is an apocalyptic number.

It is an amenable number.

11105910690017 is a deficient number, since it is larger than the sum of its proper divisors (1941693181663).

11105910690017 is a wasteful number, since it uses less digits than its factorization.

11105910690017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597664.

The product of its (nonzero) digits is 17010, while the sum is 41.

The spelling of 11105910690017 in words is "eleven trillion, one hundred five billion, nine hundred ten million, six hundred ninety thousand, seventeen".