204018100 has 108 divisors (see below), whose sum is σ = 524462092. Its totient is φ = 68428800.

The previous prime is 204018097. The next prime is 204018107. The reversal of 204018100 is 1810402.

204018100 = T₆₀₈₅ + T₆₀₈₆ + ... + T₆₀₉₅.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 203861284 = 396^2 + 14278^2 .

It is a super-2 number, since 2×204018100² = 83246770255220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204018107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156652 + ... + 157948.

Almost surely, 2^204018100 is an apocalyptic number.

204018100 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 204018100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262231046).

204018100 is an abundant number, since it is smaller than the sum of its proper divisors (320443992).

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

204018100 is a wasteful number, since it uses less digits than its factorization.

204018100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 204018100 is about 14283.4904697696. The cubic root of 204018100 is about 588.6939413781.

Adding to 204018100 its reverse (1810402), we get a palindrome (205828502).

The spelling of 204018100 in words is "two hundred four million, eighteen thousand, one hundred".