105886505825 has 12 divisors (see below), whose sum is σ = 131424465900. Its totient is φ = 84628431360.

The previous prime is 105886505789. The next prime is 105886505831. The reversal of 105886505825 is 528505688501.

It can be written as a sum of positive squares in 6 ways, for example, as 15068053504 + 90818452321 = 122752^2 + 301361^2 .

It is not a de Polignac number, because 105886505825 - 2¹⁴ = 105886489441 is a prime.

It is a super-2 number, since 2×105886505825² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1992584 + ... + 2045033.

It is an arithmetic number, because the mean of its divisors is an integer number (10952038825).

Almost surely, 2^105886505825 is an apocalyptic number.

It is an amenable number.

105886505825 is a deficient number, since it is larger than the sum of its proper divisors (25537960075).

105886505825 is a wasteful number, since it uses less digits than its factorization.

105886505825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038676 (or 4038671 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 53.

The spelling of 105886505825 in words is "one hundred five billion, eight hundred eighty-six million, five hundred five thousand, eight hundred twenty-five".