204056100 has 108 divisors (see below), whose sum is σ = 677276964. Its totient is φ = 51210240.

The previous prime is 204056077. The next prime is 204056101. The reversal of 204056100 is 1650402.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2359296 + 201696804 = 1536^2 + 14202^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (204056101) 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, 8632 + ... + 21968.

It is an arithmetic number, because the mean of its divisors is an integer number (6271083).

Almost surely, 2^204056100 is an apocalyptic number.

204056100 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 204056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338638482).

204056100 is an abundant number, since it is smaller than the sum of its proper divisors (473220864).

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

204056100 is a wasteful number, since it uses less digits than its factorization.

204056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374 (or 13364 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 204056100 is about 14284.8206149045. The cubic root of 204056100 is about 588.7304887580.

The spelling of 204056100 in words is "two hundred four million, fifty-six thousand, one hundred".