105017999 has 2 divisors, whose sum is σ = 105018000. Its totient is φ = 105017998.

The previous prime is 105017989. The next prime is 105018007. The reversal of 105017999 is 999710501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105017999 - 2²⁴ = 88240783 is a prime.

It is a super-2 number, since 2×105017999² = 22057560227928002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105017909) 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, 52508999 + 52509000.

It is an arithmetic number, because the mean of its divisors is an integer number (52509000).

Almost surely, 2^105017999 is an apocalyptic number.

105017999 is a deficient number, since it is larger than the sum of its proper divisors (1).

105017999 is an equidigital number, since it uses as much as digits as its factorization.

105017999 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25515, while the sum is 41.

The square root of 105017999 is about 10247.8289895958. The cubic root of 105017999 is about 471.7963532451.

The spelling of 105017999 in words is "one hundred five million, seventeen thousand, nine hundred ninety-nine".