105005310171 has 8 divisors (see below), whose sum is σ = 140009355264. Its totient is φ = 70002402600.

The previous prime is 105005310101. The next prime is 105005310181. The reversal of 105005310171 is 171013500501.

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

It is not a de Polignac number, because 105005310171 - 2¹⁷ = 105005179099 is a prime.

It is a super-2 number, since 2×105005310171² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005310101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38655 + ... + 459896.

It is an arithmetic number, because the mean of its divisors is an integer number (17501169408).

Almost surely, 2^105005310171 is an apocalyptic number.

105005310171 is a deficient number, since it is larger than the sum of its proper divisors (35004045093).

105005310171 is an equidigital number, since it uses as much as digits as its factorization.

105005310171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568761.

The product of its (nonzero) digits is 525, while the sum is 24.

Adding to 105005310171 its reverse (171013500501), we get a palindrome (276018810672).

The spelling of 105005310171 in words is "one hundred five billion, five million, three hundred ten thousand, one hundred seventy-one".