102710635225 has 27 divisors (see below), whose sum is σ = 140016078111. Its totient is φ = 74685824400.

The previous prime is 102710635211. The next prime is 102710635229. The reversal of 102710635225 is 522536017201.

The square root of 102710635225 is 320485.

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., 36975828681 + 65734806544 = 192291^2 + 256388^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102710635225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102710635229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17623762 + ... + 17629588.

Almost surely, 2^102710635225 is an apocalyptic number.

102710635225 is the 320485-th square number.

102710635225 is the 160243-rd centered octagonal number.

It is an amenable number.

102710635225 is a deficient number, since it is larger than the sum of its proper divisors (37305442886).

102710635225 is an frugal number, since it uses more digits than its factorization.

102710635225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 102710635225 in words is "one hundred two billion, seven hundred ten million, six hundred thirty-five thousand, two hundred twenty-five".