105805805580581 has 16 divisors (see below), whose sum is σ = 112026974054400. Its totient is φ = 99721391486640.

The previous prime is 105805805580539. The next prime is 105805805580617. The reversal of 105805805580581 is 185085508508501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105805805580581 - 2²⁶ = 105805738471717 is a prime.

It is a super-2 number, since 2×105805805580581² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105805805580581.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105805805580511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16293305 + ... + 21842238.

It is an arithmetic number, because the mean of its divisors is an integer number (7001685878400).

Almost surely, 2^{105805805580581} is an apocalyptic number.

It is an amenable number.

105805805580581 is a deficient number, since it is larger than the sum of its proper divisors (6221168473819).

105805805580581 is a wasteful number, since it uses less digits than its factorization.

105805805580581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38137336.

The product of its (nonzero) digits is 12800000, while the sum is 59.

The spelling of 105805805580581 in words is "one hundred five trillion, eight hundred five billion, eight hundred five million, five hundred eighty thousand, five hundred eighty-one".