105917561052079 has 16 divisors (see below), whose sum is σ = 129262175262720. Its totient is φ = 84828302506080.

The previous prime is 105917561052053. The next prime is 105917561052089. The reversal of 105917561052079 is 970250165719501.

It is not a de Polignac number, because 105917561052079 - 2⁹ = 105917561051567 is a prime.

It is a super-2 number, since 2×105917561052079² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105917561052089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8415499909 + ... + 8415512494.

It is an arithmetic number, because the mean of its divisors is an integer number (8078885953920).

Almost surely, 2^{105917561052079} is an apocalyptic number.

105917561052079 is a deficient number, since it is larger than the sum of its proper divisors (23344614210641).

105917561052079 is a wasteful number, since it uses less digits than its factorization.

105917561052079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16831012470.

The product of its (nonzero) digits is 5953500, while the sum is 58.

The spelling of 105917561052079 in words is "one hundred five trillion, nine hundred seventeen billion, five hundred sixty-one million, fifty-two thousand, seventy-nine".