105111100505 has 8 divisors (see below), whose sum is σ = 126196304832. Its totient is φ = 84046890928.

The previous prime is 105111100469. The next prime is 105111100517. The reversal of 105111100505 is 505001111501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105111100505 - 2²⁰ = 105110051929 is a prime.

It is a super-2 number, since 2×105111100505² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5237669 + ... + 5257698.

It is an arithmetic number, because the mean of its divisors is an integer number (15774538104).

Almost surely, 2^105111100505 is an apocalyptic number.

It is an amenable number.

105111100505 is a deficient number, since it is larger than the sum of its proper divisors (21085204327).

105111100505 is a wasteful number, since it uses less digits than its factorization.

105111100505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497375.

The product of its (nonzero) digits is 125, while the sum is 20.

The spelling of 105111100505 in words is "one hundred five billion, one hundred eleven million, one hundred thousand, five hundred five".