106305317 has 2 divisors, whose sum is σ = 106305318. Its totient is φ = 106305316.

The previous prime is 106305313. The next prime is 106305319. The reversal of 106305317 is 713503601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104980516 + 1324801 = 10246^2 + 1151^2 .

It is a cyclic number.

It is not a de Polignac number, because 106305317 - 2² = 106305313 is a prime.

It is a super-2 number, since 2×106305317² = 22601640844940978, which contains 22 as substring.

Together with 106305319, 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 (106305313) 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, 53152658 + 53152659.

It is an arithmetic number, because the mean of its divisors is an integer number (53152659).

Almost surely, 2^106305317 is an apocalyptic number.

It is an amenable number.

106305317 is a deficient number, since it is larger than the sum of its proper divisors (1).

106305317 is an equidigital number, since it uses as much as digits as its factorization.

106305317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 106305317 is about 10310.4469835211. The cubic root of 106305317 is about 473.7163004691.

Adding to 106305317 its reverse (713503601), we get a palindrome (819808918).

The spelling of 106305317 in words is "one hundred six million, three hundred five thousand, three hundred seventeen".