104305824 has 144 divisors (see below), whose sum is σ = 350138880. Its totient is φ = 28823040.

The previous prime is 104305823. The next prime is 104305853. The reversal of 104305824 is 428503401.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (104305823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61662 + ... + 63330.

It is an arithmetic number, because the mean of its divisors is an integer number (2431520).

Almost surely, 2^104305824 is an apocalyptic number.

104305824 is a gapful number since it is divisible by the number (14) 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 104305824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175069440).

104305824 is an abundant number, since it is smaller than the sum of its proper divisors (245833056).

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

104305824 is a wasteful number, since it uses less digits than its factorization.

104305824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104305824 is about 10213.0222755069. The cubic root of 104305824 is about 470.7274445112.

The spelling of 104305824 in words is "one hundred four million, three hundred five thousand, eight hundred twenty-four".