4106307282165 has 64 divisors (see below), whose sum is σ = 7965206323200. Its totient is φ = 1990572148800.

The previous prime is 4106307282163. The next prime is 4106307282199. The reversal of 4106307282165 is 5612827036014.

4106307282165 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 307 + 282 + 1 + 65 = 666.

It is not a de Polignac number, because 4106307282165 - 2¹ = 4106307282163 is a prime.

It is a super-2 number, since 2×4106307282165² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4106307282165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106307282163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7945200 + ... + 8446230.

It is an arithmetic number, because the mean of its divisors is an integer number (124456348800).

Almost surely, 2^{4106307282165} is an apocalyptic number.

4106307282165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4106307282165 is a deficient number, since it is larger than the sum of its proper divisors (3858899041035).

4106307282165 is a wasteful number, since it uses less digits than its factorization.

4106307282165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506575 (or 506569 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4106307282165 in words is "four trillion, one hundred six billion, three hundred seven million, two hundred eighty-two thousand, one hundred sixty-five".