104431436320 has 96 divisors (see below), whose sum is σ = 249340920192. Its totient is φ = 41329446912.

The previous prime is 104431436309. The next prime is 104431436321. The reversal of 104431436320 is 23634134401.

It is a super-3 number, since 3×104431436320³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104431436321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24437704 + ... + 24441976.

It is an arithmetic number, because the mean of its divisors is an integer number (2597301252).

Almost surely, 2^104431436320 is an apocalyptic number.

104431436320 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 104431436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124670460096).

104431436320 is an abundant number, since it is smaller than the sum of its proper divisors (144909483872).

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

104431436320 is a wasteful number, since it uses less digits than its factorization.

104431436320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 104431436320 in words is "one hundred four billion, four hundred thirty-one million, four hundred thirty-six thousand, three hundred twenty".