100456217 has 2 divisors, whose sum is σ = 100456218. Its totient is φ = 100456216.

The previous prime is 100456199. The next prime is 100456219. The reversal of 100456217 is 712654001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94556176 + 5900041 = 9724^2 + 2429^2 .

It is a cyclic number.

It is not a de Polignac number, because 100456217 - 2⁸ = 100455961 is a prime.

Together with 100456219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100456219) 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, 50228108 + 50228109.

It is an arithmetic number, because the mean of its divisors is an integer number (50228109).

Almost surely, 2^100456217 is an apocalyptic number.

It is an amenable number.

100456217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100456217 is an equidigital number, since it uses as much as digits as its factorization.

100456217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 100456217 is about 10022.7848924338. The cubic root of 100456217 is about 464.8636699044.

The spelling of 100456217 in words is "one hundred million, four hundred fifty-six thousand, two hundred seventeen".