105201225 has 36 divisors (see below), whose sum is σ = 189164976. Its totient is φ = 55887840.

The previous prime is 105201193. The next prime is 105201227. The reversal of 105201225 is 522102501.

It is not a de Polignac number, because 105201225 - 2⁵ = 105201193 is a prime.

It is a super-2 number, since 2×105201225² = 22134595483001250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105201198 and 105201207.

It is not an unprimeable number, because it can be changed into a prime (105201227) 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, 68314 + ... + 69836.

Almost surely, 2^105201225 is an apocalyptic number.

105201225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105201225 is a deficient number, since it is larger than the sum of its proper divisors (83963751).

105201225 is a wasteful number, since it uses less digits than its factorization.

105201225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105201225 is about 10256.7648408258. The cubic root of 105201225 is about 472.0705765023.

Adding to 105201225 its reverse (522102501), we get a palindrome (627303726).

The spelling of 105201225 in words is "one hundred five million, two hundred one thousand, two hundred twenty-five".