101304225 has 81 divisors (see below), whose sum is σ = 202765017. Its totient is φ = 48312000.

The previous prime is 101304211. The next prime is 101304233. The reversal of 101304225 is 522403101.

The square root of 101304225 is 10065.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 46662561 + 54641664 = 6831^2 + 7392^2 .

It is not a de Polignac number, because 101304225 - 2⁵ = 101304193 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101304198 and 101304207.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1660695 + ... + 1660755.

Almost surely, 2^101304225 is an apocalyptic number.

101304225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101304225 is the 10065-th square number.

101304225 is the 5033-rd centered octagonal number.

It is an amenable number.

101304225 is an abundant number, since it is smaller than the sum of its proper divisors (101460792).

101304225 is a wasteful number, since it uses less digits than its factorization.

101304225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 101304225 is about 466.1680658255.

Adding to 101304225 its reverse (522403101), we get a palindrome (623707326).

The spelling of 101304225 in words is "one hundred one million, three hundred four thousand, two hundred twenty-five".