105933967 has 2 divisors, whose sum is σ = 105933968. Its totient is φ = 105933966.

The previous prime is 105933931. The next prime is 105933973. The reversal of 105933967 is 769339501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105933967 - 2¹⁹ = 105409679 is a prime.

It is a super-2 number, since 2×105933967² = 22444010728714178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105933907) 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, 52966983 + 52966984.

It is an arithmetic number, because the mean of its divisors is an integer number (52966984).

Almost surely, 2^105933967 is an apocalyptic number.

105933967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105933967 is an equidigital number, since it uses as much as digits as its factorization.

105933967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 153090, while the sum is 43.

The square root of 105933967 is about 10292.4227954355. The cubic root of 105933967 is about 473.1640553294.

The spelling of 105933967 in words is "one hundred five million, nine hundred thirty-three thousand, nine hundred sixty-seven".