10166106651165 has 12 divisors (see below), whose sum is σ = 17621251528764. Its totient is φ = 5421923547264.

The previous prime is 10166106651163. The next prime is 10166106651193. The reversal of 10166106651165 is 56115660166101.

10166106651165 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 6 + 10 + 66 + 511 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7598683678041 + 2567422973124 = 2756571^2 + 1602318^2 .

It is not a de Polignac number, because 10166106651165 - 2¹ = 10166106651163 is a prime.

It is a super-2 number, since 2×10166106651165² (a number of 27 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: 225913481137 = 10166106651165 / (1 + 0 + 1 + 6 + 6 + 1 + 0 + 6 + 6 + 5 + 1 + 1 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 10166106651165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166106651163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112956740524 + ... + 112956740613.

It is an arithmetic number, because the mean of its divisors is an integer number (1468437627397).

Almost surely, 2^{10166106651165} is an apocalyptic number.

10166106651165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10166106651165 is a deficient number, since it is larger than the sum of its proper divisors (7455144877599).

10166106651165 is a wasteful number, since it uses less digits than its factorization.

10166106651165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225913481148 (or 225913481145 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10166106651165 in words is "ten trillion, one hundred sixty-six billion, one hundred six million, six hundred fifty-one thousand, one hundred sixty-five".