105271 has 6 divisors (see below), whose sum is σ = 110600. Its totient is φ = 100188.

The previous prime is 105269. The next prime is 105277. The reversal of 105271 is 172501.

It is not a de Polignac number, because 105271 - 2¹ = 105269 is a prime.

It is a super-2 number, since 2×105271² = 22163966882, which 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 (105277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430 + ... + 628.

2¹⁰⁵²⁷¹ is an apocalyptic number.

105271 is a deficient number, since it is larger than the sum of its proper divisors (5329).

105271 is an equidigital number, since it uses as much as digits as its factorization.

105271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 105271 is about 324.4549275323. The cubic root of 105271 is about 47.2174920804.

Adding to 105271 its reverse (172501), we get a palindrome (277772).

The spelling of 105271 in words is "one hundred five thousand, two hundred seventy-one".