104216782824 has 384 divisors, whose sum is σ = 364206735360. Its totient is φ = 26154576000.

The previous prime is 104216782799. The next prime is 104216782837. The reversal of 104216782824 is 428287612401.

104216782824 is a `hidden beast` number, since 10 + 421 + 67 + 82 + 82 + 4 = 666.

It is a super-2 number, since 2×104216782824² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104216782824.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165160989 + ... + 165161619.

It is an arithmetic number, because the mean of its divisors is an integer number (948455040).

Almost surely, 2^104216782824 is an apocalyptic number.

104216782824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104216782824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182103367680).

104216782824 is an abundant number, since it is smaller than the sum of its proper divisors (259989952536).

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

104216782824 is a wasteful number, since it uses less digits than its factorization.

104216782824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 104216782824 in words is "one hundred four billion, two hundred sixteen million, seven hundred eighty-two thousand, eight hundred twenty-four".