104876601984 has 800 divisors, whose sum is σ = 398245731840. Its totient is φ = 27169551360.

The previous prime is 104876601971. The next prime is 104876601989. The reversal of 104876601984 is 489106678401.

104876601984 is a `hidden beast` number, since 10 + 487 + 6 + 60 + 1 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 104876601984.

It is not an unprimeable number, because it can be changed into a prime (104876601989) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 273829057 + ... + 273829439.

Almost surely, 2^104876601984 is an apocalyptic number.

104876601984 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 104876601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199122865920).

104876601984 is an abundant number, since it is smaller than the sum of its proper divisors (293369129856).

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

104876601984 is an frugal number, since it uses more digits than its factorization.

104876601984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 104876601984 in words is "one hundred four billion, eight hundred seventy-six million, six hundred one thousand, nine hundred eighty-four".