105208319 has 2 divisors, whose sum is σ = 105208320. Its totient is φ = 105208318.

The previous prime is 105208289. The next prime is 105208331. The reversal of 105208319 is 913802501.

It is a strong prime.

It is an emirp because it is prime and its reverse (913802501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105208319 - 2⁸ = 105208063 is a prime.

It is a super-2 number, since 2×105208319² = 22137580773611522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105208291 and 105208300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105208349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52604159 + 52604160.

It is an arithmetic number, because the mean of its divisors is an integer number (52604160).

Almost surely, 2^105208319 is an apocalyptic number.

105208319 is a deficient number, since it is larger than the sum of its proper divisors (1).

105208319 is an equidigital number, since it uses as much as digits as its factorization.

105208319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 105208319 is about 10257.1106555404. The cubic root of 105208319 is about 472.0811872577.

The spelling of 105208319 in words is "one hundred five million, two hundred eight thousand, three hundred nineteen".