100605317 has 2 divisors, whose sum is σ = 100605318. Its totient is φ = 100605316.

The previous prime is 100605311. The next prime is 100605319. The reversal of 100605317 is 713506001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70123876 + 30481441 = 8374^2 + 5521^2 .

It is a cyclic number.

It is not a de Polignac number, because 100605317 - 2⁴ = 100605301 is a prime.

Together with 100605319, 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 = 100605292 and 100605301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100605311) 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, 50302658 + 50302659.

It is an arithmetic number, because the mean of its divisors is an integer number (50302659).

Almost surely, 2^100605317 is an apocalyptic number.

It is an amenable number.

100605317 is a deficient number, since it is larger than the sum of its proper divisors (1).

100605317 is an equidigital number, since it uses as much as digits as its factorization.

100605317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 100605317 is about 10030.2201870148. The cubic root of 100605317 is about 465.0935442128.

The spelling of 100605317 in words is "one hundred million, six hundred five thousand, three hundred seventeen".