105116010505 has 16 divisors (see below), whose sum is σ = 137663054784. Its totient is φ = 76416540480.

The previous prime is 105116010497. The next prime is 105116010511. The reversal of 105116010505 is 505010611501.

It is not a de Polignac number, because 105116010505 - 2³ = 105116010497 is a prime.

It is a super-2 number, since 2×105116010505² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105116010505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258087 + ... + 526156.

It is an arithmetic number, because the mean of its divisors is an integer number (8603940924).

Almost surely, 2^105116010505 is an apocalyptic number.

It is an amenable number.

105116010505 is a deficient number, since it is larger than the sum of its proper divisors (32547044279).

105116010505 is a wasteful number, since it uses less digits than its factorization.

105116010505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786696.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105116010505 in words is "one hundred five billion, one hundred sixteen million, ten thousand, five hundred five".