102016200625 has 20 divisors (see below), whose sum is σ = 127596509172. Its totient is φ = 81538016000.

The previous prime is 102016200593. The next prime is 102016200631. The reversal of 102016200625 is 526002610201.

It can be written as a sum of positive squares in 10 ways, for example, as 96775743744 + 5240456881 = 311088^2 + 72391^2 .

It is not a de Polignac number, because 102016200625 - 2⁵ = 102016200593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102016200625.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 611229 + ... + 760021.

Almost surely, 2^102016200625 is an apocalyptic number.

It is an amenable number.

102016200625 is a deficient number, since it is larger than the sum of its proper divisors (25580308547).

102016200625 is an equidigital number, since it uses as much as digits as its factorization.

102016200625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149910 (or 149895 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 102016200625 its reverse (526002610201), we get a palindrome (628018810826).

The spelling of 102016200625 in words is "one hundred two billion, sixteen million, two hundred thousand, six hundred twenty-five".