204132105344 has 128 divisors (see below), whose sum is σ = 439904424960. Its totient is φ = 94076928000.

The previous prime is 204132105343. The next prime is 204132105409. The reversal of 204132105344 is 443501231402.

204132105344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (204132105341) 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, 21989984 + ... + 21999264.

It is an arithmetic number, because the mean of its divisors is an integer number (3436753320).

Almost surely, 2^204132105344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204132105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219952212480).

204132105344 is an abundant number, since it is smaller than the sum of its proper divisors (235772319616).

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

204132105344 is a wasteful number, since it uses less digits than its factorization.

204132105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 204132105344 its reverse (443501231402), we get a palindrome (647633336746).

The spelling of 204132105344 in words is "two hundred four billion, one hundred thirty-two million, one hundred five thousand, three hundred forty-four".