105033225 has 48 divisors (see below), whose sum is σ = 200612160. Its totient is φ = 47923200.

The previous prime is 105033221. The next prime is 105033241. The reversal of 105033225 is 522330501.

It is not a de Polignac number, because 105033225 - 2² = 105033221 is a prime.

It is a super-2 number, since 2×105033225² = 22063956707801250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105033221) 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 47 ways as a sum of consecutive naturals, for example, 10281 + ... + 17769.

It is an arithmetic number, because the mean of its divisors is an integer number (4179420).

Almost surely, 2^105033225 is an apocalyptic number.

105033225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105033225 is a deficient number, since it is larger than the sum of its proper divisors (95578935).

105033225 is a wasteful number, since it uses less digits than its factorization.

105033225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7530 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 105033225 is about 10248.5718517265. The cubic root of 105033225 is about 471.8191532229.

Adding to 105033225 its reverse (522330501), we get a palindrome (627363726).

The spelling of 105033225 in words is "one hundred five million, thirty-three thousand, two hundred twenty-five".