105333224 has 32 divisors (see below), whose sum is σ = 210253320. Its totient is φ = 49299456.

The previous prime is 105333211. The next prime is 105333229. The reversal of 105333224 is 422333501.

It can be written as a sum of positive squares in 4 ways, for example, as 101404900 + 3928324 = 10070^2 + 1982^2 .

It is a super-2 number, since 2×105333224² = 22190176156468352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105333224.

It is not an unprimeable number, because it can be changed into a prime (105333229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24242 + ... + 28254.

Almost surely, 2^105333224 is an apocalyptic number.

It is an amenable number.

105333224 is a deficient number, since it is larger than the sum of its proper divisors (104920096).

105333224 is a wasteful number, since it uses less digits than its factorization.

105333224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 105333224 is about 10263.1975524200. The cubic root of 105333224 is about 472.2679341544.

Adding to 105333224 its reverse (422333501), we get a palindrome (527666725).

The spelling of 105333224 in words is "one hundred five million, three hundred thirty-three thousand, two hundred twenty-four".