105106217 has 2 divisors, whose sum is σ = 105106218. Its totient is φ = 105106216.

The previous prime is 105106201. The next prime is 105106273. The reversal of 105106217 is 712601501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103815721 + 1290496 = 10189^2 + 1136^2 .

It is a cyclic number.

It is not a de Polignac number, because 105106217 - 2⁴ = 105106201 is a prime.

It is a super-2 number, since 2×105106217² = 22094633704102178, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105106192 and 105106201.

It is not a weakly prime, because it can be changed into another prime (105106277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52553108 + 52553109.

It is an arithmetic number, because the mean of its divisors is an integer number (52553109).

Almost surely, 2^105106217 is an apocalyptic number.

It is an amenable number.

105106217 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106217 is an equidigital number, since it uses as much as digits as its factorization.

105106217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 105106217 is about 10252.1323147919. The cubic root of 105106217 is about 471.9284235641.

Adding to 105106217 its reverse (712601501), we get a palindrome (817707718).

The spelling of 105106217 in words is "one hundred five million, one hundred six thousand, two hundred seventeen".