104419834560 has 280 divisors, whose sum is σ = 383424598656. Its totient is φ = 26946846720.

The previous prime is 104419834543. The next prime is 104419834601. The reversal of 104419834560 is 65438914401.

104419834560 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 1 + 9 + 83 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 738544 + ... + 868496.

Almost surely, 2^104419834560 is an apocalyptic number.

104419834560 is a gapful number since it is divisible by the number (10) 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 104419834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191712299328).

104419834560 is an abundant number, since it is smaller than the sum of its proper divisors (279004764096).

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

104419834560 is a wasteful number, since it uses less digits than its factorization.

104419834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130013 (or 129994 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 104419834560 in words is "one hundred four billion, four hundred nineteen million, eight hundred thirty-four thousand, five hundred sixty".