104544442435040 has 96 divisors (see below), whose sum is σ = 248393755915200. Its totient is φ = 41579750006784.

The previous prime is 104544442435039. The next prime is 104544442435061. The reversal of 104544442435040 is 40534244445401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104544442434982 and 104544442435000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46437512 + ... + 48636728.

It is an arithmetic number, because the mean of its divisors is an integer number (2587434957450).

Almost surely, 2^{104544442435040} is an apocalyptic number.

104544442435040 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 104544442435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124196877957600).

104544442435040 is an abundant number, since it is smaller than the sum of its proper divisors (143849313480160).

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

104544442435040 is a wasteful number, since it uses less digits than its factorization.

104544442435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200924 (or 2200916 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 44.

The spelling of 104544442435040 in words is "one hundred four trillion, five hundred forty-four billion, four hundred forty-two million, four hundred thirty-five thousand, forty".