105267117112 has 64 divisors (see below), whose sum is σ = 204462720000. Its totient is φ = 50780670336.

The previous prime is 105267117031. The next prime is 105267117169. The reversal of 105267117112 is 211711762501.

It is a super-2 number, since 2×105267117112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 8149363 + ... + 8162269.

It is an arithmetic number, because the mean of its divisors is an integer number (3194730000).

Almost surely, 2^105267117112 is an apocalyptic number.

It is an amenable number.

105267117112 is a deficient number, since it is larger than the sum of its proper divisors (99195602888).

105267117112 is a wasteful number, since it uses less digits than its factorization.

105267117112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13268 (or 13264 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 34.

Adding to 105267117112 its reverse (211711762501), we get a palindrome (316978879613).

The spelling of 105267117112 in words is "one hundred five billion, two hundred sixty-seven million, one hundred seventeen thousand, one hundred twelve".