105921217 has 2 divisors, whose sum is σ = 105921218. Its totient is φ = 105921216.

The previous prime is 105921191. The next prime is 105921227. The reversal of 105921217 is 712129501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103958416 + 1962801 = 10196^2 + 1401^2 .

It is a cyclic number.

It is not a de Polignac number, because 105921217 - 2¹¹ = 105919169 is a prime.

It is a super-2 number, since 2×105921217² = 22438608421522178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105921227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52960608 + 52960609.

It is an arithmetic number, because the mean of its divisors is an integer number (52960609).

Almost surely, 2^105921217 is an apocalyptic number.

It is an amenable number.

105921217 is a deficient number, since it is larger than the sum of its proper divisors (1).

105921217 is an equidigital number, since it uses as much as digits as its factorization.

105921217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 105921217 is about 10291.8033891053. The cubic root of 105921217 is about 473.1450715419.

The spelling of 105921217 in words is "one hundred five million, nine hundred twenty-one thousand, two hundred seventeen".