105111051616105 has 16 divisors (see below), whose sum is σ = 130483035104400. Its totient is φ = 81189008087040.

The previous prime is 105111051616073. The next prime is 105111051616111. The reversal of 105111051616105 is 501616150111501.

It can be written as a sum of positive squares in 8 ways, for example, as 568279268649 + 104542772347456 = 753843^2 + 10224616^2 .

It is not a de Polignac number, because 105111051616105 - 2⁵ = 105111051616073 is a prime.

It is a super-2 number, since 2×105111051616105² (a number of 29 digits) contains 22 as substring.

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, 72044701 + ... + 73489189.

It is an arithmetic number, because the mean of its divisors is an integer number (8155189694025).

Almost surely, 2^{105111051616105} is an apocalyptic number.

It is an amenable number.

105111051616105 is a deficient number, since it is larger than the sum of its proper divisors (25371983488295).

105111051616105 is a wasteful number, since it uses less digits than its factorization.

105111051616105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946364.

The product of its (nonzero) digits is 4500, while the sum is 34.

The spelling of 105111051616105 in words is "one hundred five trillion, one hundred eleven billion, fifty-one million, six hundred sixteen thousand, one hundred five".