105222257 has 12 divisors (see below), whose sum is σ = 122627520. Its totient is φ = 90023976.

The previous prime is 105222223. The next prime is 105222283. The reversal of 105222257 is 752222501.

It is not a de Polignac number, because 105222257 - 2¹² = 105218161 is a prime.

It is a super-2 number, since 2×105222257² = 22143446736348098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105222457) 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 in 11 ways as a sum of consecutive naturals, for example, 30044 + ... + 33362.

It is an arithmetic number, because the mean of its divisors is an integer number (10218960).

Almost surely, 2^105222257 is an apocalyptic number.

It is an amenable number.

105222257 is a deficient number, since it is larger than the sum of its proper divisors (17405263).

105222257 is an equidigital number, since it uses as much as digits as its factorization.

105222257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 105222257 is about 10257.7900641415. The cubic root of 105222257 is about 472.1020334453.

Adding to 105222257 its reverse (752222501), we get a palindrome (857444758).

The spelling of 105222257 in words is "one hundred five million, two hundred twenty-two thousand, two hundred fifty-seven".