105791171 has 2 divisors, whose sum is σ = 105791172. Its totient is φ = 105791170.

The previous prime is 105791143. The next prime is 105791173. The reversal of 105791171 is 171197501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (171197501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105791171 - 2¹⁸ = 105529027 is a prime.

It is a super-2 number, since 2×105791171² = 22383543723102482, which contains 22 as substring.

Together with 105791173, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105791173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52895585 + 52895586.

It is an arithmetic number, because the mean of its divisors is an integer number (52895586).

Almost surely, 2^105791171 is an apocalyptic number.

105791171 is a deficient number, since it is larger than the sum of its proper divisors (1).

105791171 is an equidigital number, since it uses as much as digits as its factorization.

105791171 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 32.

The square root of 105791171 is about 10285.4835083238. The cubic root of 105791171 is about 472.9513557956.

The spelling of 105791171 in words is "one hundred five million, seven hundred ninety-one thousand, one hundred seventy-one".