105715716171 has 8 divisors (see below), whose sum is σ = 151796925840. Its totient is φ = 65055825312.

The previous prime is 105715716151. The next prime is 105715716209. The reversal of 105715716171 is 171617517501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105715716171 - 2¹⁴ = 105715699787 is a prime.

It is a super-2 number, since 2×105715716171² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105715716151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1355329656 + ... + 1355329733.

It is an arithmetic number, because the mean of its divisors is an integer number (18974615730).

Almost surely, 2^105715716171 is an apocalyptic number.

105715716171 is a deficient number, since it is larger than the sum of its proper divisors (46081209669).

105715716171 is a wasteful number, since it uses less digits than its factorization.

105715716171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710659405.

The product of its (nonzero) digits is 51450, while the sum is 42.

The spelling of 105715716171 in words is "one hundred five billion, seven hundred fifteen million, seven hundred sixteen thousand, one hundred seventy-one".