2005104300200 has 96 divisors (see below), whose sum is σ = 4722528096000. Its totient is φ = 791637158400.

The previous prime is 2005104300193. The next prime is 2005104300203. The reversal of 2005104300200 is 20034015002.

It is not an unprimeable number, because it can be changed into a prime (2005104300203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10065161 + ... + 10262439.

It is an arithmetic number, because the mean of its divisors is an integer number (49193001000).

Almost surely, 2^{2005104300200} is an apocalyptic number.

2005104300200 is a gapful number since it is divisible by the number (20) 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 2005104300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361264048000).

2005104300200 is an abundant number, since it is smaller than the sum of its proper divisors (2717423795800).

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

2005104300200 is a wasteful number, since it uses less digits than its factorization.

2005104300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197955 (or 197946 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 2005104300200 its reverse (20034015002), we get a palindrome (2025138315202).

The spelling of 2005104300200 in words is "two trillion, five billion, one hundred four million, three hundred thousand, two hundred".