100300225 has 9 divisors (see below), whose sum is σ = 124434403. Its totient is φ = 80200120.

The previous prime is 100300223. The next prime is 100300243. The reversal of 100300225 is 522003001.

The square root of 100300225 is 10015.

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

It can be written as a sum of positive squares in only one way, i.e., 36108081 + 64192144 = 6009^2 + 8012^2 .

It is not a de Polignac number, because 100300225 - 2¹ = 100300223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100300223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49074 + ... + 51076.

Almost surely, 2^100300225 is an apocalyptic number.

100300225 is the 10015-th square number.

100300225 is the 5008-th centered octagonal number.

It is an amenable number.

100300225 is a deficient number, since it is larger than the sum of its proper divisors (24134178).

100300225 is an frugal number, since it uses more digits than its factorization.

100300225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The cubic root of 100300225 is about 464.6229262822.

Adding to 100300225 its reverse (522003001), we get a palindrome (622303226).

The spelling of 100300225 in words is "one hundred million, three hundred thousand, two hundred twenty-five".