10299205225 has 9 divisors (see below), whose sum is σ = 12771643717. Its totient is φ = 8238958240.

The previous prime is 10299205201. The next prime is 10299205249. The reversal of 10299205225 is 52250299201.

The square root of 10299205225 is 101485.

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

10299205225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10299205201) and next prime (10299205249).

It can be written as a sum of positive squares in 4 ways, for example, as 275991769 + 10023213456 = 16613^2 + 100116^2 .

It is not a de Polignac number, because 10299205225 - 2⁵ = 10299205193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 8 ways as a sum of consecutive naturals, for example, 497277 + ... + 517573.

Almost surely, 2^10299205225 is an apocalyptic number.

10299205225 is the 101485-th square number.

10299205225 is the 50743-rd centered octagonal number.

It is an amenable number.

10299205225 is a deficient number, since it is larger than the sum of its proper divisors (2472438492).

10299205225 is an frugal number, since it uses more digits than its factorization.

10299205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40604 (or 20302 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

Multiplying 10299205225 by its product of nonzero digits (32400), we get a square (333694249290000 = 18267300²).

The spelling of 10299205225 in words is "ten billion, two hundred ninety-nine million, two hundred five thousand, two hundred twenty-five".