204041100 has 144 divisors (see below), whose sum is σ = 624960000. Its totient is φ = 51313920.

The previous prime is 204041083. The next prime is 204041107. The reversal of 204041100 is 1140402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (204041107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408651 + ... + 409149.

It is an arithmetic number, because the mean of its divisors is an integer number (4340000).

Almost surely, 2^204041100 is an apocalyptic number.

204041100 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 204041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480000).

204041100 is an abundant number, since it is smaller than the sum of its proper divisors (420918900).

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

204041100 is a wasteful number, since it uses less digits than its factorization.

204041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 204041100 is about 14284.2955724110. The cubic root of 204041100 is about 588.7160627027.

Adding to 204041100 its reverse (1140402), we get a palindrome (205181502).

The spelling of 204041100 in words is "two hundred four million, forty-one thousand, one hundred".