8106185165 has 16 divisors (see below), whose sum is σ = 10477915056. Its totient is φ = 5984832000.

The previous prime is 8106185149. The next prime is 8106185179. The reversal of 8106185165 is 5615816018.

It can be written as a sum of positive squares in 8 ways, for example, as 964324 + 8105220841 = 982^2 + 90029^2 .

It is not a de Polignac number, because 8106185165 - 2⁴ = 8106185149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386345 + ... + 406785.

It is an arithmetic number, because the mean of its divisors is an integer number (654869691).

Almost surely, 2^8106185165 is an apocalyptic number.

It is an amenable number.

8106185165 is a deficient number, since it is larger than the sum of its proper divisors (2371729891).

8106185165 is a wasteful number, since it uses less digits than its factorization.

8106185165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26560.

The product of its (nonzero) digits is 57600, while the sum is 41.

The square root of 8106185165 is about 90034.3554705647. The cubic root of 8106185165 is about 2008.8098996033.

The spelling of 8106185165 in words is "eight billion, one hundred six million, one hundred eighty-five thousand, one hundred sixty-five".