102081664672 has 48 divisors (see below), whose sum is σ = 216817685280. Its totient is φ = 47030821632.

The previous prime is 102081664631. The next prime is 102081664673. The reversal of 102081664672 is 276466180201.

102081664672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102081664673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16279 + ... + 452137.

It is an arithmetic number, because the mean of its divisors is an integer number (4517035110).

Almost surely, 2^102081664672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102081664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108408842640).

102081664672 is an abundant number, since it is smaller than the sum of its proper divisors (114736020608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102081664672 is a wasteful number, since it uses less digits than its factorization.

102081664672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436445 (or 436437 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 102081664672 in words is "one hundred two billion, eighty-one million, six hundred sixty-four thousand, six hundred seventy-two".