204233442100 has 72 divisors (see below), whose sum is σ = 445105886400. Its totient is φ = 81340385280.

The previous prime is 204233442073. The next prime is 204233442109. The reversal of 204233442100 is 1244332402.

It is a happy number.

It is a super-2 number, since 2×204233442100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204233442109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22580179 + ... + 22589221.

It is an arithmetic number, because the mean of its divisors is an integer number (6182026200).

Almost surely, 2^204233442100 is an apocalyptic number.

204233442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204233442100 is an abundant number, since it is smaller than the sum of its proper divisors (240872444300).

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

204233442100 is a wasteful number, since it uses less digits than its factorization.

204233442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 204233442100 its reverse (1244332402), we get a palindrome (205477774502).

The spelling of 204233442100 in words is "two hundred four billion, two hundred thirty-three million, four hundred forty-two thousand, one hundred".