105111057915 has 32 divisors (see below), whose sum is σ = 186881372160. Its totient is φ = 56054050272.

The previous prime is 105111057869. The next prime is 105111057923. The reversal of 105111057915 is 519750111501.

105111057915 is a `hidden beast` number, since 1 + 0 + 511 + 1 + 0 + 57 + 91 + 5 = 666.

It is not a de Polignac number, because 105111057915 - 2⁷ = 105111057787 is a prime.

It is a super-2 number, since 2×105111057915² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105111057915.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1761702 + ... + 1820388.

It is an arithmetic number, because the mean of its divisors is an integer number (5840042880).

Almost surely, 2^105111057915 is an apocalyptic number.

105111057915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105111057915 is a deficient number, since it is larger than the sum of its proper divisors (81770314245).

105111057915 is a wasteful number, since it uses less digits than its factorization.

105111057915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71968 (or 71962 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 36.

The spelling of 105111057915 in words is "one hundred five billion, one hundred eleven million, fifty-seven thousand, nine hundred fifteen".