225105 has 16 divisors (see below), whose sum is σ = 369600. Its totient is φ = 116928.

The previous prime is 225089. The next prime is 225109. The reversal of 225105 is 501522.

It is not a de Polignac number, because 225105 - 2⁴ = 225089 is a prime.

It is a super-2 number, since 2×225105² = 101344522050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225105.

It is not an unprimeable number, because it can be changed into a prime (225109) 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 15 ways as a sum of consecutive naturals, for example, 471 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2²²⁵¹⁰⁵ is an apocalyptic number.

It is an amenable number.

225105 is a deficient number, since it is larger than the sum of its proper divisors (144495).

225105 is a wasteful number, since it uses less digits than its factorization.

225105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 225105 is about 474.4523158337. The cubic root of 225105 is about 60.8314796875.

Adding to 225105 its reverse (501522), we get a palindrome (726627).

The spelling of 225105 in words is "two hundred twenty-five thousand, one hundred five".