104519634336 has 192 divisors, whose sum is σ = 332354816640. Its totient is φ = 32159607552.

The previous prime is 104519634299. The next prime is 104519634341. The reversal of 104519634336 is 633436915401.

It is a happy number.

104519634336 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 1 + 9 + 634 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104519634291 and 104519634300.

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 31 ways as a sum of consecutive naturals, for example, 852351 + ... + 967233.

It is an arithmetic number, because the mean of its divisors is an integer number (1731014670).

Almost surely, 2^104519634336 is an apocalyptic number.

104519634336 is a gapful number since it is divisible by the number (16) 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 104519634336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166177408320).

104519634336 is an abundant number, since it is smaller than the sum of its proper divisors (227835182304).

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

104519634336 is an equidigital number, since it uses as much as digits as its factorization.

104519634336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114927 (or 114901 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 104519634336 in words is "one hundred four billion, five hundred nineteen million, six hundred thirty-four thousand, three hundred thirty-six".