104001334000 has 80 divisors (see below), whose sum is σ = 251587174176. Its totient is φ = 41582016000.

The previous prime is 104001333983. The next prime is 104001334001. The reversal of 104001334000 is 433100401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104001334001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5031687 + ... + 5052313.

Almost surely, 2^104001334000 is an apocalyptic number.

104001334000 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 104001334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125793587088).

104001334000 is an abundant number, since it is smaller than the sum of its proper divisors (147585840176).

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

104001334000 is a wasteful number, since it uses less digits than its factorization.

104001334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23171 (or 23155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 104001334000 its reverse (433100401), we get a palindrome (104434434401).

The spelling of 104001334000 in words is "one hundred four billion, one million, three hundred thirty-four thousand".