105336225 has 36 divisors (see below), whose sum is σ = 193783356. Its totient is φ = 54656640.

The previous prime is 105336223. The next prime is 105336263. The reversal of 105336225 is 522633501.

105336225 is a `hidden beast` number, since 1 + 0 + 5 + 33 + 622 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7800849 + 97535376 = 2793^2 + 9876^2 .

It is not a de Polignac number, because 105336225 - 2¹ = 105336223 is a prime.

It is a super-2 number, since 2×105336225² = 22191440594501250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105336221) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1999 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (5382871).

Almost surely, 2^105336225 is an apocalyptic number.

105336225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105336225 is a deficient number, since it is larger than the sum of its proper divisors (88447131).

105336225 is a wasteful number, since it uses less digits than its factorization.

105336225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12706 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105336225 is about 10263.3437533778. The cubic root of 105336225 is about 472.2724191673.

Adding to 105336225 its reverse (522633501), we get a palindrome (627969726).

The spelling of 105336225 in words is "one hundred five million, three hundred thirty-six thousand, two hundred twenty-five".