105222208 has 168 divisors, whose sum is σ = 273634200. Its totient is φ = 39739392.

The previous prime is 105222199. The next prime is 105222211. The reversal of 105222208 is 802222501.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 105021504 = 448^2 + 10248^2 .

It is a super-2 number, since 2×105222208² = 22143426112790528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182228 + ... + 1182316.

It is an arithmetic number, because the mean of its divisors is an integer number (1628775).

Almost surely, 2^105222208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105222208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136817100).

105222208 is an abundant number, since it is smaller than the sum of its proper divisors (168411992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105222208 is a wasteful number, since it uses less digits than its factorization.

105222208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 105222208 is about 10257.7876757125. The cubic root of 105222208 is about 472.1019601623.

Adding to 105222208 its reverse (802222501), we get a palindrome (907444709).

The spelling of 105222208 in words is "one hundred five million, two hundred twenty-two thousand, two hundred eight".