10065106171116 has 18 divisors (see below), whose sum is σ = 25442351710412. Its totient is φ = 3355035390360.

The previous prime is 10065106171103. The next prime is 10065106171151. The reversal of 10065106171116 is 61117160156001.

It is a happy number.

10065106171116 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 10 + 617 + 11 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 279586282531 = 10065106171116 / (1 + 0 + 0 + 6 + 5 + 1 + 0 + 6 + 1 + 7 + 1 + 1 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139793141230 + ... + 139793141301.

Almost surely, 2^{10065106171116} is an apocalyptic number.

It is an amenable number.

10065106171116 is an abundant number, since it is smaller than the sum of its proper divisors (15377245539296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10065106171116 is a wasteful number, since it uses less digits than its factorization.

10065106171116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279586282541 (or 279586282536 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 10065106171116 in words is "ten trillion, sixty-five billion, one hundred six million, one hundred seventy-one thousand, one hundred sixteen".