204311100 has 288 divisors, whose sum is σ = 734952960. Its totient is φ = 42762240.

The previous prime is 204311087. The next prime is 204311101. The reversal of 204311100 is 1113402.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204311101) 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 95 ways as a sum of consecutive naturals, for example, 2106252 + ... + 2106348.

It is an arithmetic number, because the mean of its divisors is an integer number (2551920).

Almost surely, 2^204311100 is an apocalyptic number.

204311100 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 204311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367476480).

204311100 is an abundant number, since it is smaller than the sum of its proper divisors (530641860).

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

204311100 is a wasteful number, since it uses less digits than its factorization.

204311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 204311100 is about 14293.7433865310. The cubic root of 204311100 is about 588.9756236050.

Adding to 204311100 its reverse (1113402), we get a palindrome (205424502).

The spelling of 204311100 in words is "two hundred four million, three hundred eleven thousand, one hundred".