105582885685 has 16 divisors (see below), whose sum is σ = 130136518512. Its totient is φ = 82175385600.

The previous prime is 105582885671. The next prime is 105582885689. The reversal of 105582885685 is 586588285501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10609206001 + 94973679684 = 103001^2 + 308178^2 .

It is not a de Polignac number, because 105582885685 - 2¹⁵ = 105582852917 is a prime.

It is a super-2 number, since 2×105582885685² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105582885689) 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, 2465355 + ... + 2507815.

It is an arithmetic number, because the mean of its divisors is an integer number (8133532407).

Almost surely, 2^105582885685 is an apocalyptic number.

It is an amenable number.

105582885685 is a deficient number, since it is larger than the sum of its proper divisors (24553632827).

105582885685 is a wasteful number, since it uses less digits than its factorization.

105582885685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55944.

The product of its (nonzero) digits is 30720000, while the sum is 61.

The spelling of 105582885685 in words is "one hundred five billion, five hundred eighty-two million, eight hundred eighty-five thousand, six hundred eighty-five".