105033224 has 16 divisors (see below), whose sum is σ = 197375100. Its totient is φ = 52399872.

The previous prime is 105033221. The next prime is 105033241. The reversal of 105033224 is 422330501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 103022500 + 2010724 = 10150^2 + 1418^2 .

It is a super-3 number, since 3×105033224³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105033196 and 105033205.

It is not an unprimeable number, because it can be changed into a prime (105033221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10709 + ... + 18020.

Almost surely, 2^105033224 is an apocalyptic number.

It is an amenable number.

105033224 is a deficient number, since it is larger than the sum of its proper divisors (92341876).

105033224 is a wasteful number, since it uses less digits than its factorization.

105033224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29192 (or 29188 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 105033224 is about 10248.5718029392. The cubic root of 105033224 is about 471.8191517256.

Adding to 105033224 its reverse (422330501), we get a palindrome (527363725).

The spelling of 105033224 in words is "one hundred five million, thirty-three thousand, two hundred twenty-four".