105967 has 2 divisors, whose sum is σ = 105968. Its totient is φ = 105966.

The previous prime is 105953. The next prime is 105971. The reversal of 105967 is 769501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105967 - 2¹¹ = 103919 is a prime.

It is a super-2 number, since 2×105967² = 22458010178, which contains 22 as substring.

It is a Chen prime.

105967 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52983 + 52984.

It is an arithmetic number, because the mean of its divisors is an integer number (52984).

2¹⁰⁵⁹⁶⁷ is an apocalyptic number.

105967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105967 is an equidigital number, since it uses as much as digits as its factorization.

105967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 105967 is about 325.5257286299. The cubic root of 105967 is about 47.3213231888.

The spelling of 105967 in words is "one hundred five thousand, nine hundred sixty-seven".