105996311 has 2 divisors, whose sum is σ = 105996312. Its totient is φ = 105996310.

The previous prime is 105996301. The next prime is 105996313. The reversal of 105996311 is 113699501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105996311 - 2¹⁰ = 105995287 is a prime.

It is a super-2 number, since 2×105996311² = 22470435891217442, which contains 22 as substring.

Together with 105996313, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105996313) 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, 52998155 + 52998156.

It is an arithmetic number, because the mean of its divisors is an integer number (52998156).

Almost surely, 2^105996311 is an apocalyptic number.

105996311 is a deficient number, since it is larger than the sum of its proper divisors (1).

105996311 is an equidigital number, since it uses as much as digits as its factorization.

105996311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 35.

The square root of 105996311 is about 10295.4509857509. The cubic root of 105996311 is about 473.2568589117.

The spelling of 105996311 in words is "one hundred five million, nine hundred ninety-six thousand, three hundred eleven".