105971 has 2 divisors, whose sum is σ = 105972. Its totient is φ = 105970.

The previous prime is 105967. The next prime is 105977. The reversal of 105971 is 179501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105971 - 2² = 105967 is a prime.

It is a super-2 number, since 2×105971² = 22459705682, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52985 + 52986.

It is an arithmetic number, because the mean of its divisors is an integer number (52986).

2¹⁰⁵⁹⁷¹ is an apocalyptic number.

105971 is a deficient number, since it is larger than the sum of its proper divisors (1).

105971 is an equidigital number, since it uses as much as digits as its factorization.

105971 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 105971 is about 325.5318724795. The cubic root of 105971 is about 47.3219186035.

The spelling of 105971 in words is "one hundred five thousand, nine hundred seventy-one".