100005317 has 2 divisors, whose sum is σ = 100005318. Its totient is φ = 100005316.

The previous prime is 100005313. The next prime is 100005319. The reversal of 100005317 is 713500001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76492516 + 23512801 = 8746^2 + 4849^2 .

It is a cyclic number.

It is not a de Polignac number, because 100005317 - 2² = 100005313 is a prime.

Together with 100005319, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100005295 and 100005304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100005313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50002658 + 50002659.

It is an arithmetic number, because the mean of its divisors is an integer number (50002659).

Almost surely, 2^100005317 is an apocalyptic number.

It is an amenable number.

100005317 is a deficient number, since it is larger than the sum of its proper divisors (1).

100005317 is an equidigital number, since it uses as much as digits as its factorization.

100005317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 100005317 is about 10000.2658464663. The cubic root of 100005317 is about 464.1671096581.

Adding to 100005317 its reverse (713500001), we get a palindrome (813505318).

The spelling of 100005317 in words is "one hundred million, five thousand, three hundred seventeen".