203319828100 has 81 divisors (see below), whose sum is σ = 448553945007. Its totient is φ = 79995041280.

The previous prime is 203319828073. The next prime is 203319828119. The reversal of 203319828100 is 1828913302.

The square root of 203319828100 is 450910.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19909774404 + 183410053696 = 141102^2 + 428264^2 .

It is a super-2 number, since 2×203319828100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 203319828100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 302109364 + ... + 302110036.

Almost surely, 2^203319828100 is an apocalyptic number.

203319828100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

203319828100 is the 450910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203319828100

203319828100 is an abundant number, since it is smaller than the sum of its proper divisors (245234116907).

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

203319828100 is an frugal number, since it uses more digits than its factorization.

203319828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 203319828100 in words is "two hundred three billion, three hundred nineteen million, eight hundred twenty-eight thousand, one hundred".