10075872165 has 32 divisors (see below), whose sum is σ = 16199688960. Its totient is φ = 5347769856.

The previous prime is 10075872161. The next prime is 10075872199. The reversal of 10075872165 is 56127857001.

It is not a de Polignac number, because 10075872165 - 2² = 10075872161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075872161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2933289 + ... + 2936721.

It is an arithmetic number, because the mean of its divisors is an integer number (506240280).

Almost surely, 2^10075872165 is an apocalyptic number.

10075872165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10075872165 is a deficient number, since it is larger than the sum of its proper divisors (6123816795).

10075872165 is a wasteful number, since it uses less digits than its factorization.

10075872165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333.

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 10075872165 in words is "ten billion, seventy-five million, eight hundred seventy-two thousand, one hundred sixty-five".