105225 has 24 divisors (see below), whose sum is σ = 184512. Its totient is φ = 52800.

The previous prime is 105211. The next prime is 105227. The reversal of 105225 is 522501.

105225 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 105225 - 2⁷ = 105097 is a prime.

It is a super-2 number, since 2×105225² = 22144601250, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695 + ... + 1755.

It is an arithmetic number, because the mean of its divisors is an integer number (7688).

2¹⁰⁵²²⁵ is an apocalyptic number.

105225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105225 is a deficient number, since it is larger than the sum of its proper divisors (79287).

105225 is a wasteful number, since it uses less digits than its factorization.

105225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 92 counting only the distinct ones).

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

The square root of 105225 is about 324.3840316662. The cubic root of 105225 is about 47.2106135761.

Adding to 105225 its reverse (522501), we get a palindrome (627726).

The spelling of 105225 in words is "one hundred five thousand, two hundred twenty-five".