102025942225 has 27 divisors (see below), whose sum is σ = 127556431569. Its totient is φ = 80952537600.

The previous prime is 102025942201. The next prime is 102025942243. The reversal of 102025942225 is 522249520201.

The square root of 102025942225 is 319415.

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 16408841409 + 85617100816 = 128097^2 + 292604^2 .

It is not a de Polignac number, because 102025942225 - 2¹⁹ = 102025417937 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 26 ways as a sum of consecutive naturals, for example, 308235310 + ... + 308235640.

Almost surely, 2^102025942225 is an apocalyptic number.

102025942225 is the 319415-th square number.

102025942225 is the 159708-th centered octagonal number.

It is an amenable number.

102025942225 is a deficient number, since it is larger than the sum of its proper divisors (25530489344).

102025942225 is an frugal number, since it uses more digits than its factorization.

102025942225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 102025942225 in words is "one hundred two billion, twenty-five million, nine hundred forty-two thousand, two hundred twenty-five".