105842163169 has 16 divisors (see below), whose sum is σ = 107865971136. Its totient is φ = 103828132800.

The previous prime is 105842163157. The next prime is 105842163197. The reversal of 105842163169 is 961361248501.

It is a cyclic number.

It is not a de Polignac number, because 105842163169 - 2⁷ = 105842163041 is a prime.

It is a super-2 number, since 2×105842163169² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105842163139) 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, 54811134 + ... + 54813064.

It is an arithmetic number, because the mean of its divisors is an integer number (6741623196).

Almost surely, 2^105842163169 is an apocalyptic number.

It is an amenable number.

105842163169 is a deficient number, since it is larger than the sum of its proper divisors (2023807967).

105842163169 is a wasteful number, since it uses less digits than its factorization.

105842163169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936.

The product of its (nonzero) digits is 311040, while the sum is 46.

It can be divided in two parts, 105842 and 163169, that added together give a triangular number (269011 = T₇₃₃).

The spelling of 105842163169 in words is "one hundred five billion, eight hundred forty-two million, one hundred sixty-three thousand, one hundred sixty-nine".