106736271165 has 12 divisors (see below), whose sum is σ = 185009536764. Its totient is φ = 56926011264.

The previous prime is 106736271149. The next prime is 106736271199. The reversal of 106736271165 is 561172637601.

106736271165 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 3 + 627 + 1 + 16 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67024549881 + 39711721284 = 258891^2 + 199278^2 .

It is not a de Polignac number, because 106736271165 - 2⁴ = 106736271149 is a prime.

It is a super-2 number, since 2×106736271165² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2371917137 = 106736271165 / (1 + 0 + 6 + 7 + 3 + 6 + 2 + 7 + 1 + 1 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 106736271165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185958524 + ... + 1185958613.

It is an arithmetic number, because the mean of its divisors is an integer number (15417461397).

Almost surely, 2^106736271165 is an apocalyptic number.

106736271165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106736271165 is a deficient number, since it is larger than the sum of its proper divisors (78273265599).

106736271165 is a wasteful number, since it uses less digits than its factorization.

106736271165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371917148 (or 2371917145 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 106736271165 in words is "one hundred six billion, seven hundred thirty-six million, two hundred seventy-one thousand, one hundred sixty-five".