102505010225 has 48 divisors (see below), whose sum is σ = 138944678400. Its totient is φ = 74774219520.

The previous prime is 102505010213. The next prime is 102505010243. The reversal of 102505010225 is 522010505201.

It is not a de Polignac number, because 102505010225 - 2¹⁸ = 102504748081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102505010225.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278419 + ... + 1356231.

It is an arithmetic number, because the mean of its divisors is an integer number (2894680800).

Almost surely, 2^102505010225 is an apocalyptic number.

It is an amenable number.

102505010225 is a deficient number, since it is larger than the sum of its proper divisors (36439668175).

102505010225 is a wasteful number, since it uses less digits than its factorization.

102505010225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77954 (or 77949 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

Adding to 102505010225 its reverse (522010505201), we get a palindrome (624515515426).

The spelling of 102505010225 in words is "one hundred two billion, five hundred five million, ten thousand, two hundred twenty-five".