102082971825 has 36 divisors (see below), whose sum is σ = 182862328428. Its totient is φ = 54438182400.

The previous prime is 102082971779. The next prime is 102082971827. The reversal of 102082971825 is 528179280201.

It can be written as a sum of positive squares in 6 ways, for example, as 16238659761 + 85844312064 = 127431^2 + 292992^2 .

It is not a de Polignac number, because 102082971825 - 2⁶ = 102082971761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (102082971827) 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, 2603365 + ... + 2642285.

It is an arithmetic number, because the mean of its divisors is an integer number (5079509123).

Almost surely, 2^102082971825 is an apocalyptic number.

102082971825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102082971825 is a deficient number, since it is larger than the sum of its proper divisors (80779356603).

102082971825 is a wasteful number, since it uses less digits than its factorization.

102082971825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50594 (or 50586 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 102082971825 in words is "one hundred two billion, eighty-two million, nine hundred seventy-one thousand, eight hundred twenty-five".