102313225 has 45 divisors (see below), whose sum is σ = 156805347. Its totient is φ = 66030720.

The previous prime is 102313217. The next prime is 102313229. The reversal of 102313225 is 522313201.

The square root of 102313225 is 10115.

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

It can be written as a sum of positive squares in 7 ways, for example, as 11148921 + 91164304 = 3339^2 + 9548^2 .

It is not a de Polignac number, because 102313225 - 2³ = 102313217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102313229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6018417 + ... + 6018433.

Almost surely, 2^102313225 is an apocalyptic number.

102313225 is the 10115-th square number.

102313225 is the 5058-th centered octagonal number.

It is an amenable number.

102313225 is a deficient number, since it is larger than the sum of its proper divisors (54492122).

102313225 is an frugal number, since it uses more digits than its factorization.

102313225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 102313225 is about 467.7106488720.

Adding to 102313225 its reverse (522313201), we get a palindrome (624626426).

It can be divided in two parts, 10231 and 3225, that added together give a square (13456 = 116²).

The spelling of 102313225 in words is "one hundred two million, three hundred thirteen thousand, two hundred twenty-five".