105038959 has 2 divisors, whose sum is σ = 105038960. Its totient is φ = 105038958.

The previous prime is 105038933. The next prime is 105039013. The reversal of 105038959 is 959830501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105038959 - 2¹³ = 105030767 is a prime.

It is a super-2 number, since 2×105038959² = 22066365815607362, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105038909) 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, 52519479 + 52519480.

It is an arithmetic number, because the mean of its divisors is an integer number (52519480).

Almost surely, 2^105038959 is an apocalyptic number.

105038959 is a deficient number, since it is larger than the sum of its proper divisors (1).

105038959 is an equidigital number, since it uses as much as digits as its factorization.

105038959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 40.

The square root of 105038959 is about 10248.8515942031. The cubic root of 105038959 is about 471.8277389563.

The spelling of 105038959 in words is "one hundred five million, thirty-eight thousand, nine hundred fifty-nine".