105131585 has 32 divisors (see below), whose sum is σ = 140894208. Its totient is φ = 74810880.

The previous prime is 105131573. The next prime is 105131599. The reversal of 105131585 is 585131501.

It is not a de Polignac number, because 105131585 - 2⁸ = 105131329 is a prime.

It is a super-2 number, since 2×105131585² = 22105300329224450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274304 + ... + 274686.

It is an arithmetic number, because the mean of its divisors is an integer number (4402944).

Almost surely, 2^105131585 is an apocalyptic number.

It is an amenable number.

105131585 is a deficient number, since it is larger than the sum of its proper divisors (35762623).

105131585 is a wasteful number, since it uses less digits than its factorization.

105131585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545.

The product of its (nonzero) digits is 3000, while the sum is 29.

The square root of 105131585 is about 10253.3694461869. The cubic root of 105131585 is about 471.9663880714.

The spelling of 105131585 in words is "one hundred five million, one hundred thirty-one thousand, five hundred eighty-five".