102313618225 has 243 divisors, whose sum is σ = 173343161187. Its totient is φ = 59694485760.

The previous prime is 102313618213. The next prime is 102313618237. The reversal of 102313618225 is 522816313201.

The square root of 102313618225 is 319865.

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

It is an interprime number because it is at equal distance from previous prime (102313618213) and next prime (102313618237).

It can be written as a sum of positive squares in 13 ways, for example, as 59044626081 + 43268992144 = 242991^2 + 208012^2 .

It is not a de Polignac number, because 102313618225 - 2¹⁹ = 102313093937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2765232907 + ... + 2765232943.

Almost surely, 2^102313618225 is an apocalyptic number.

102313618225 is the 319865-th square number.

102313618225 is the 159933-rd centered octagonal number.

It is an amenable number.

102313618225 is a deficient number, since it is larger than the sum of its proper divisors (71029542962).

102313618225 is a wasteful number, since it uses less digits than its factorization.

102313618225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 102313618225 in words is "one hundred two billion, three hundred thirteen million, six hundred eighteen thousand, two hundred twenty-five".