102896685125 has 36 divisors (see below), whose sum is σ = 139116031236. Its totient is φ = 75950815200.

The previous prime is 102896685121. The next prime is 102896685169. The reversal of 102896685125 is 521586698201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 72497716516 + 30398968609 = 269254^2 + 174353^2 .

It is not a de Polignac number, because 102896685125 - 2² = 102896685121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102896685121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46621772 + ... + 46623978.

It is an arithmetic number, because the mean of its divisors is an integer number (3864334201).

Almost surely, 2^102896685125 is an apocalyptic number.

It is an amenable number.

102896685125 is a deficient number, since it is larger than the sum of its proper divisors (36219346111).

102896685125 is an frugal number, since it uses more digits than its factorization.

102896685125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 53.

The spelling of 102896685125 in words is "one hundred two billion, eight hundred ninety-six million, six hundred eighty-five thousand, one hundred twenty-five".