105287225 has 12 divisors (see below), whose sum is σ = 130954044. Its totient is φ = 83973120.

The previous prime is 105287219. The next prime is 105287233. The reversal of 105287225 is 522782501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6165289 + 99121936 = 2483^2 + 9956^2 .

It is not a de Polignac number, because 105287225 - 2⁸ = 105286969 is a prime.

It is a super-2 number, since 2×105287225² = 22170799496401250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105287191 and 105287200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2177 + ... + 14673.

It is an arithmetic number, because the mean of its divisors is an integer number (10912837).

Almost surely, 2^105287225 is an apocalyptic number.

It is an amenable number.

105287225 is a deficient number, since it is larger than the sum of its proper divisors (25666819).

105287225 is a wasteful number, since it uses less digits than its factorization.

105287225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12844 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 105287225 is about 10260.9563394452. The cubic root of 105287225 is about 472.1991777041.

The spelling of 105287225 in words is "one hundred five million, two hundred eighty-seven thousand, two hundred twenty-five".