105222213 has 32 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 68468400.

The previous prime is 105222211. The next prime is 105222223. The reversal of 105222213 is 312222501.

It is not a de Polignac number, because 105222213 - 2¹ = 105222211 is a prime.

It is a super-2 number, since 2×105222213² = 22143428217234738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105222211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250918 + ... + 251336.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^105222213 is an apocalyptic number.

It is an amenable number.

105222213 is a deficient number, since it is larger than the sum of its proper divisors (54444987).

105222213 is a wasteful number, since it uses less digits than its factorization.

105222213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105222213 is about 10257.7879194298. The cubic root of 105222213 is about 472.1019676401.

Adding to 105222213 its reverse (312222501), we get a palindrome (417444714).

The spelling of 105222213 in words is "one hundred five million, two hundred twenty-two thousand, two hundred thirteen".