105346217 has 2 divisors, whose sum is σ = 105346218. Its totient is φ = 105346216.

The previous prime is 105346159. The next prime is 105346243. The reversal of 105346217 is 712643501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64947481 + 40398736 = 8059^2 + 6356^2 .

It is an emirp because it is prime and its reverse (712643501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105346217 - 2²⁴ = 88569001 is a prime.

It is a super-2 number, since 2×105346217² = 22195650872422178, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105346217.

It is not a weakly prime, because it can be changed into another prime (105349217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52673108 + 52673109.

It is an arithmetic number, because the mean of its divisors is an integer number (52673109).

Almost surely, 2^105346217 is an apocalyptic number.

It is an amenable number.

105346217 is a deficient number, since it is larger than the sum of its proper divisors (1).

105346217 is an equidigital number, since it uses as much as digits as its factorization.

105346217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105346217 is about 10263.8305227629. The cubic root of 105346217 is about 472.2873516587.

Adding to 105346217 its reverse (712643501), we get a palindrome (817989718).

The spelling of 105346217 in words is "one hundred five million, three hundred forty-six thousand, two hundred seventeen".