105859967 has 2 divisors, whose sum is σ = 105859968. Its totient is φ = 105859966.

The previous prime is 105859951. The next prime is 105859979. The reversal of 105859967 is 769958501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105859967 - 2⁴ = 105859951 is a prime.

It is a super-3 number, since 3×105859967³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105859927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52929983 + 52929984.

It is an arithmetic number, because the mean of its divisors is an integer number (52929984).

Almost surely, 2^105859967 is an apocalyptic number.

105859967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105859967 is an equidigital number, since it uses as much as digits as its factorization.

105859967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 680400, while the sum is 50.

The square root of 105859967 is about 10288.8272898324. The cubic root of 105859967 is about 473.0538536718.

The spelling of 105859967 in words is "one hundred five million, eight hundred fifty-nine thousand, nine hundred sixty-seven".