105957871 has 2 divisors, whose sum is σ = 105957872. Its totient is φ = 105957870.

The previous prime is 105957827. The next prime is 105957877. The reversal of 105957871 is 178759501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105957871 - 2⁹ = 105957359 is a prime.

It is a super-2 number, since 2×105957871² = 22454140853705282, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105957877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52978935 + 52978936.

It is an arithmetic number, because the mean of its divisors is an integer number (52978936).

Almost surely, 2^105957871 is an apocalyptic number.

105957871 is a deficient number, since it is larger than the sum of its proper divisors (1).

105957871 is an equidigital number, since it uses as much as digits as its factorization.

105957871 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 43.

The square root of 105957871 is about 10293.5839725530. The cubic root of 105957871 is about 473.1996424764.

The spelling of 105957871 in words is "one hundred five million, nine hundred fifty-seven thousand, eight hundred seventy-one".