105630225 has 24 divisors (see below), whose sum is σ = 175048320. Its totient is φ = 56205120.

The previous prime is 105630221. The next prime is 105630233. The reversal of 105630225 is 522036501.

It is not a de Polignac number, because 105630225 - 2² = 105630221 is a prime.

It is a super-2 number, since 2×105630225² = 22315488867101250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105630195 and 105630204.

It is not an unprimeable number, because it can be changed into a prime (105630221) 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, 36792 + ... + 39558.

It is an arithmetic number, because the mean of its divisors is an integer number (7293680).

Almost surely, 2^105630225 is an apocalyptic number.

105630225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105630225 is a deficient number, since it is larger than the sum of its proper divisors (69418095).

105630225 is a wasteful number, since it uses less digits than its factorization.

105630225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105630225 is about 10277.6565908771. The cubic root of 105630225 is about 472.7113916520.

Adding to 105630225 its reverse (522036501), we get a palindrome (627666726).

The spelling of 105630225 in words is "one hundred five million, six hundred thirty thousand, two hundred twenty-five".