105309221 has 2 divisors, whose sum is σ = 105309222. Its totient is φ = 105309220.

The previous prime is 105309199. The next prime is 105309233. The reversal of 105309221 is 122903501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76300225 + 29008996 = 8735^2 + 5386^2 .

It is a cyclic number.

It is not a de Polignac number, because 105309221 - 2¹⁰ = 105308197 is a prime.

It is a super-2 number, since 2×105309221² = 22180064055253682, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (185309221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52654610 + 52654611.

It is an arithmetic number, because the mean of its divisors is an integer number (52654611).

Almost surely, 2^105309221 is an apocalyptic number.

It is an amenable number.

105309221 is a deficient number, since it is larger than the sum of its proper divisors (1).

105309221 is an equidigital number, since it uses as much as digits as its factorization.

105309221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105309221 is about 10262.0281133897. The cubic root of 105309221 is about 472.2320584577.

The spelling of 105309221 in words is "one hundred five million, three hundred nine thousand, two hundred twenty-one".