203424100 has 72 divisors (see below), whose sum is σ = 486593856. Its totient is φ = 73200000.

The previous prime is 203424071. The next prime is 203424103. The reversal of 203424100 is 1424302.

It is not an unprimeable number, because it can be changed into a prime (203424103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110185 + ... + 112015.

It is an arithmetic number, because the mean of its divisors is an integer number (6758248).

Almost surely, 2^203424100 is an apocalyptic number.

203424100 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 203424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243296928).

203424100 is an abundant number, since it is smaller than the sum of its proper divisors (283169756).

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

203424100 is a wasteful number, since it uses less digits than its factorization.

203424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 203424100 is about 14262.6820759631. The cubic root of 203424100 is about 588.1220572814.

Adding to 203424100 its reverse (1424302), we get a palindrome (204848402).

It can be divided in two parts, 20342 and 4100, that added together give a palindrome (24442).

The spelling of 203424100 in words is "two hundred three million, four hundred twenty-four thousand, one hundred".