106005116165 has 32 divisors (see below), whose sum is σ = 138060988800. Its totient is φ = 77670109440.

The previous prime is 106005116159. The next prime is 106005116177. The reversal of 106005116165 is 561611500601.

It is not a de Polignac number, because 106005116165 - 2⁶ = 106005116101 is a prime.

It is a super-2 number, since 2×106005116165² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22937555 + ... + 22942175.

It is an arithmetic number, because the mean of its divisors is an integer number (4314405900).

Almost surely, 2^106005116165 is an apocalyptic number.

It is an amenable number.

106005116165 is a deficient number, since it is larger than the sum of its proper divisors (32055872635).

106005116165 is a wasteful number, since it uses less digits than its factorization.

106005116165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7317.

The product of its (nonzero) digits is 5400, while the sum is 32.

Adding to 106005116165 its reverse (561611500601), we get a palindrome (667616616766).

The spelling of 106005116165 in words is "one hundred six billion, five million, one hundred sixteen thousand, one hundred sixty-five".