100217 has 6 divisors (see below), whose sum is σ = 108702. Its totient is φ = 92352.

The previous prime is 100213. The next prime is 100237. The reversal of 100217 is 712001.

It can be written as a sum of positive squares in 3 ways, for example, as 361 + 99856 = 19^2 + 316^2 .

It is not a de Polignac number, because 100217 - 2² = 100213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100198 and 100207.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100217.

It is not an unprimeable number, because it can be changed into a prime (100213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (18117).

2¹⁰⁰²¹⁷ is an apocalyptic number.

It is an amenable number.

100217 is a deficient number, since it is larger than the sum of its proper divisors (8485).

100217 is an equidigital number, since it uses as much as digits as its factorization.

100217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 100217 is about 316.5706872090. The cubic root of 100217 is about 46.4494382393.

Adding to 100217 its reverse (712001), we get a palindrome (812218).

The spelling of 100217 in words is "one hundred thousand, two hundred seventeen", and thus it is an iban number.