100105217 has 2 divisors, whose sum is σ = 100105218. Its totient is φ = 100105216.

The previous prime is 100105207. The next prime is 100105237. The reversal of 100105217 is 712501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62663056 + 37442161 = 7916^2 + 6119^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105217 - 2¹² = 100101121 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100105195 and 100105204.

It is not a weakly prime, because it can be changed into another prime (100105207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052608 + 50052609.

It is an arithmetic number, because the mean of its divisors is an integer number (50052609).

Almost surely, 2^100105217 is an apocalyptic number.

It is an amenable number.

100105217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105217 is an equidigital number, since it uses as much as digits as its factorization.

100105217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 100105217 is about 10005.2594669004. The cubic root of 100105217 is about 464.3216176507.

Adding to 100105217 its reverse (712501001), we get a palindrome (812606218).

The spelling of 100105217 in words is "one hundred million, one hundred five thousand, two hundred seventeen".