105917561052059 has 4 divisors (see below), whose sum is σ = 106751557595904. Its totient is φ = 105083564508216.

The previous prime is 105917561052053. The next prime is 105917561052089. The reversal of 105917561052059 is 950250165719501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105917561052059 - 2⁴⁴ = 88325375007643 is a prime.

It is a super-2 number, since 2×105917561052059² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105917561051995 and 105917561052013.

It is not an unprimeable number, because it can be changed into a prime (105917561052053) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 416998271732 + ... + 416998271985.

It is an arithmetic number, because the mean of its divisors is an integer number (26687889398976).

Almost surely, 2^{105917561052059} is an apocalyptic number.

105917561052059 is a deficient number, since it is larger than the sum of its proper divisors (833996543845).

105917561052059 is an equidigital number, since it uses as much as digits as its factorization.

105917561052059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833996543844.

The product of its (nonzero) digits is 4252500, while the sum is 56.

The spelling of 105917561052059 in words is "one hundred five trillion, nine hundred seventeen billion, five hundred sixty-one million, fifty-two thousand, fifty-nine".