105871 has 2 divisors, whose sum is σ = 105872. Its totient is φ = 105870.

The previous prime is 105863. The next prime is 105883. The reversal of 105871 is 178501.

It is a weak prime.

It is an emirp because it is prime and its reverse (178501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105871 - 2³ = 105863 is a prime.

It is a super-2 number, since 2×105871² = 22417337282, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105071) 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 as a sum of consecutive naturals, namely, 52935 + 52936.

It is an arithmetic number, because the mean of its divisors is an integer number (52936).

2¹⁰⁵⁸⁷¹ is an apocalyptic number.

105871 is a deficient number, since it is larger than the sum of its proper divisors (1).

105871 is an equidigital number, since it uses as much as digits as its factorization.

105871 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 105871 is about 325.3782414360. The cubic root of 105871 is about 47.3070287400.

The spelling of 105871 in words is "one hundred five thousand, eight hundred seventy-one".