105580785831 has 32 divisors (see below), whose sum is σ = 146240962560. Its totient is φ = 67684140000.

The previous prime is 105580785763. The next prime is 105580785833. The reversal of 105580785831 is 138587085501.

It is not a de Polignac number, because 105580785831 - 2⁹ = 105580785319 is a prime.

It is a super-2 number, since 2×105580785831² (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 (105580785833) 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, 10242426 + ... + 10252728.

It is an arithmetic number, because the mean of its divisors is an integer number (4570030080).

Almost surely, 2^105580785831 is an apocalyptic number.

105580785831 is a deficient number, since it is larger than the sum of its proper divisors (40660176729).

105580785831 is a wasteful number, since it uses less digits than its factorization.

105580785831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11027.

The product of its (nonzero) digits is 1344000, while the sum is 51.

The spelling of 105580785831 in words is "one hundred five billion, five hundred eighty million, seven hundred eighty-five thousand, eight hundred thirty-one".