225300107 has 2 divisors, whose sum is σ = 225300108. Its totient is φ = 225300106.

The previous prime is 225300083. The next prime is 225300109. The reversal of 225300107 is 701003522.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 225300107 - 2¹⁶ = 225234571 is a prime.

It is a super-2 number, since 2×225300107² = 101520276428422898, which contains 22 as substring.

Together with 225300109, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (225300109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112650053 + 112650054.

It is an arithmetic number, because the mean of its divisors is an integer number (112650054).

Almost surely, 2^225300107 is an apocalyptic number.

225300107 is a deficient number, since it is larger than the sum of its proper divisors (1).

225300107 is an equidigital number, since it uses as much as digits as its factorization.

225300107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 225300107 is about 15010.0002331779. Note that the first 3 decimals coincide. The cubic root of 225300107 is about 608.4904959212.

Adding to 225300107 its reverse (701003522), we get a palindrome (926303629).

The spelling of 225300107 in words is "two hundred twenty-five million, three hundred thousand, one hundred seven".