105590085 has 16 divisors (see below), whose sum is σ = 171715200. Its totient is φ = 55391040.

The previous prime is 105590063. The next prime is 105590143. The reversal of 105590085 is 580095501.

It is not a de Polignac number, because 105590085 - 2⁶ = 105590021 is a prime.

It is a super-2 number, since 2×105590085² = 22298532100614450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56785 + ... + 58614.

It is an arithmetic number, because the mean of its divisors is an integer number (10732200).

Almost surely, 2^105590085 is an apocalyptic number.

105590085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105590085 is a deficient number, since it is larger than the sum of its proper divisors (66125115).

105590085 is a wasteful number, since it uses less digits than its factorization.

105590085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115468.

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 105590085 is about 10275.7036255431. The cubic root of 105590085 is about 472.6515065221.

The spelling of 105590085 in words is "one hundred five million, five hundred ninety thousand, eighty-five".