102782876672 has 264 divisors, whose sum is σ = 253818829440. Its totient is φ = 41362513920.

The previous prime is 102782876663. The next prime is 102782876701. The reversal of 102782876672 is 276678287201.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124887653 + ... + 124888475.

It is an arithmetic number, because the mean of its divisors is an integer number (961434960).

Almost surely, 2^102782876672 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 102782876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126909414720).

102782876672 is an abundant number, since it is smaller than the sum of its proper divisors (151035952768).

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

102782876672 is a wasteful number, since it uses less digits than its factorization.

102782876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 56.

The spelling of 102782876672 in words is "one hundred two billion, seven hundred eighty-two million, eight hundred seventy-six thousand, six hundred seventy-two".