10106610165 has 20 divisors (see below), whose sum is σ = 18117035244. Its totient is φ = 5390191872.

The previous prime is 10106610161. The next prime is 10106610179. The reversal of 10106610165 is 56101660101.

It can be written as a sum of positive squares in 2 ways, for example, as 1349019441 + 8757590724 = 36729^2 + 93582^2 .

It is not a de Polignac number, because 10106610165 - 2² = 10106610161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106610161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12476892 + ... + 12477701.

Almost surely, 2^10106610165 is an apocalyptic number.

10106610165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10106610165 is a deficient number, since it is larger than the sum of its proper divisors (8010425079).

10106610165 is an equidigital number, since it uses as much as digits as its factorization.

10106610165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24954610 (or 24954601 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10106610165 in words is "ten billion, one hundred six million, six hundred ten thousand, one hundred sixty-five".