105933907 has 2 divisors, whose sum is σ = 105933908. Its totient is φ = 105933906.

The previous prime is 105933853. The next prime is 105933931. The reversal of 105933907 is 709339501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105933907 is a prime.

It is a super-2 number, since 2×105933907² = 22443985304569298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105933967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52966953 + 52966954.

It is an arithmetic number, because the mean of its divisors is an integer number (52966954).

Almost surely, 2^105933907 is an apocalyptic number.

105933907 is a deficient number, since it is larger than the sum of its proper divisors (1).

105933907 is an equidigital number, since it uses as much as digits as its factorization.

105933907 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25515, while the sum is 37.

The square root of 105933907 is about 10292.4198806695. The cubic root of 105933907 is about 473.1639659975.

The spelling of 105933907 in words is "one hundred five million, nine hundred thirty-three thousand, nine hundred seven".