203031348100 has 243 divisors, whose sum is σ = 528681500109. Its totient is φ = 67480358400.

The previous prime is 203031348073. The next prime is 203031348139. The reversal of 203031348100 is 1843130302.

The square root of 203031348100 is 450590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 199414047364 + 3617300736 = 446558^2 + 60144^2 .

It is a super-2 number, since 2×203031348100² (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 an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1293193222 + ... + 1293193378.

Almost surely, 2^203031348100 is an apocalyptic number.

203031348100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

203031348100 is the 450590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203031348100

203031348100 is an abundant number, since it is smaller than the sum of its proper divisors (325650152009).

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

203031348100 is a wasteful number, since it uses less digits than its factorization.

203031348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Multiplying 203031348100 by its sum of digits (25), we get a square (5075783702500 = 2252950²).

203031348100 divided by its sum of digits (25) gives a square (8121253924 = 90118²).

Adding to 203031348100 its reverse (1843130302), we get a palindrome (204874478402).

The spelling of 203031348100 in words is "two hundred three billion, thirty-one million, three hundred forty-eight thousand, one hundred".