10165034205 has 24 divisors (see below), whose sum is σ = 17908239960. Its totient is φ = 5332475520.

The previous prime is 10165034197. The next prime is 10165034221. The reversal of 10165034205 is 50243056101.

10165034205 is a `hidden beast` number, since 1 + 0 + 1 + 650 + 3 + 4 + 2 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1281783204 + 8883251001 = 35802^2 + 94251^2 .

It is not a de Polignac number, because 10165034205 - 2³ = 10165034197 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1848810 + ... + 1854299.

It is an arithmetic number, because the mean of its divisors is an integer number (746176665).

Almost surely, 2^10165034205 is an apocalyptic number.

10165034205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10165034205 is a deficient number, since it is larger than the sum of its proper divisors (7743205755).

10165034205 is a wasteful number, since it uses less digits than its factorization.

10165034205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703181 (or 3703178 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10165034205 in words is "ten billion, one hundred sixty-five million, thirty-four thousand, two hundred five".