104416724832 has 144 divisors (see below), whose sum is σ = 318992551920. Its totient is φ = 29819446272.

The previous prime is 104416724809. The next prime is 104416724833. The reversal of 104416724832 is 238427614401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104416724833) 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, 14282394 + ... + 14289702.

It is an arithmetic number, because the mean of its divisors is an integer number (2215226055).

Almost surely, 2^104416724832 is an apocalyptic number.

104416724832 is a gapful number since it is divisible by the number (12) 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 104416724832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159496275960).

104416724832 is an abundant number, since it is smaller than the sum of its proper divisors (214575827088).

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

104416724832 is a wasteful number, since it uses less digits than its factorization.

104416724832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 104416724832 in words is "one hundred four billion, four hundred sixteen million, seven hundred twenty-four thousand, eight hundred thirty-two".