105210317 has 2 divisors, whose sum is σ = 105210318. Its totient is φ = 105210316.

The previous prime is 105210269. The next prime is 105210319. The reversal of 105210317 is 713012501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76545001 + 28665316 = 8749^2 + 5354^2 .

It is a cyclic number.

It is not a de Polignac number, because 105210317 - 2²⁴ = 88433101 is a prime.

It is a super-2 number, since 2×105210317² = 22138421606480978, which contains 22 as substring.

Together with 105210319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105210319) 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, 52605158 + 52605159.

It is an arithmetic number, because the mean of its divisors is an integer number (52605159).

Almost surely, 2^105210317 is an apocalyptic number.

It is an amenable number.

105210317 is a deficient number, since it is larger than the sum of its proper divisors (1).

105210317 is an equidigital number, since it uses as much as digits as its factorization.

105210317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 105210317 is about 10257.2080509269. The cubic root of 105210317 is about 472.0841756534.

Adding to 105210317 its reverse (713012501), we get a palindrome (818222818).

The spelling of 105210317 in words is "one hundred five million, two hundred ten thousand, three hundred seventeen".