203442414100 has 36 divisors (see below), whose sum is σ = 452237609628. Its totient is φ = 79392160000.

The previous prime is 203442414067. The next prime is 203442414113. The reversal of 203442414100 is 1414244302.

203442414100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 49877182224 + 153565231876 = 223332^2 + 391874^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24805951 + ... + 24814150.

It is an arithmetic number, because the mean of its divisors is an integer number (12562155823).

Almost surely, 2^203442414100 is an apocalyptic number.

203442414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203442414100 is an abundant number, since it is smaller than the sum of its proper divisors (248795195528).

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

203442414100 is a wasteful number, since it uses less digits than its factorization.

203442414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49620156 (or 49620149 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 203442414100 its reverse (1414244302), we get a palindrome (204856658402).

The spelling of 203442414100 in words is "two hundred three billion, four hundred forty-two million, four hundred fourteen thousand, one hundred".