102283679872 has 64 divisors (see below), whose sum is σ = 222406430400. Its totient is φ = 46468787200.

The previous prime is 102283679837. The next prime is 102283679873. The reversal of 102283679872 is 278976382201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (102283679873) 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, 2895597 + ... + 2930707.

It is an arithmetic number, because the mean of its divisors is an integer number (3475100475).

Almost surely, 2^102283679872 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 102283679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111203215200).

102283679872 is an abundant number, since it is smaller than the sum of its proper divisors (120122750528).

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

102283679872 is a wasteful number, since it uses less digits than its factorization.

102283679872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37205 (or 37193 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 102283679872 in words is "one hundred two billion, two hundred eighty-three million, six hundred seventy-nine thousand, eight hundred seventy-two".