105017157706271 has 16 divisors (see below), whose sum is σ = 105998583398400. Its totient is φ = 104039001393600.

The previous prime is 105017157706247. The next prime is 105017157706289. The reversal of 105017157706271 is 172607751710501.

It is a cyclic number.

It is not a de Polignac number, because 105017157706271 - 2¹⁸ = 105017157444127 is a prime.

It is a super-2 number, since 2×105017157706271² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105017157706871) 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, 743092706 + ... + 743234016.

It is an arithmetic number, because the mean of its divisors is an integer number (6624911462400).

Almost surely, 2^{105017157706271} is an apocalyptic number.

105017157706271 is a deficient number, since it is larger than the sum of its proper divisors (981425692129).

105017157706271 is a wasteful number, since it uses less digits than its factorization.

105017157706271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152830.

The product of its (nonzero) digits is 720300, while the sum is 50.

The spelling of 105017157706271 in words is "one hundred five trillion, seventeen billion, one hundred fifty-seven million, seven hundred six thousand, two hundred seventy-one".