102784282675416 has 384 divisors, whose sum is σ = 286740964224000. Its totient is φ = 33250270408704.

The previous prime is 102784282675387. The next prime is 102784282675427. The reversal of 102784282675416 is 614576282487201.

102784282675416 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 8 + 4 + 2 + 82 + 6 + 7 + 541 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98926161825 + ... + 98926162863.

It is an arithmetic number, because the mean of its divisors is an integer number (746721261000).

Almost surely, 2^{102784282675416} 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 102784282675416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143370482112000).

102784282675416 is an abundant number, since it is smaller than the sum of its proper divisors (183956681548584).

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

102784282675416 is a wasteful number, since it uses less digits than its factorization.

102784282675416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 102784282675416 in words is "one hundred two trillion, seven hundred eighty-four billion, two hundred eighty-two million, six hundred seventy-five thousand, four hundred sixteen".