104511435840 has 1120 divisors, whose sum is σ = 464804296704. Its totient is φ = 21737963520.

The previous prime is 104511435829. The next prime is 104511435869. The reversal of 104511435840 is 48534115401.

104511435840 is a `hidden beast` number, since 10 + 4 + 51 + 14 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104511435795 and 104511435804.

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 159 ways as a sum of consecutive naturals, for example, 95618334 + ... + 95619426.

Almost surely, 2^104511435840 is an apocalyptic number.

104511435840 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 104511435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232402148352).

104511435840 is an abundant number, since it is smaller than the sum of its proper divisors (360292860864).

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

104511435840 is a wasteful number, since it uses less digits than its factorization.

104511435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 104511435840 in words is "one hundred four billion, five hundred eleven million, four hundred thirty-five thousand, eight hundred forty".