203020100 has 36 divisors (see below), whose sum is σ = 444937668. Its totient is φ = 80400000.

The previous prime is 203020091. The next prime is 203020133. The reversal of 203020100 is 1020302.

It can be written as a sum of positive squares in 6 ways, for example, as 925444 + 202094656 = 962^2 + 14216^2 .

It is a super-2 number, since 2×203020100² = 82434322008020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50 + ... + 20150.

Almost surely, 2^203020100 is an apocalyptic number.

203020100 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 203020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222468834).

203020100 is an abundant number, since it is smaller than the sum of its proper divisors (241917568).

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

203020100 is a wasteful number, since it uses less digits than its factorization.

203020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20216 (or 20209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 203020100 is about 14248.5122030337. The cubic root of 203020100 is about 587.7324627072.

Adding to 203020100 its reverse (1020302), we get a palindrome (204040402).

The spelling of 203020100 in words is "two hundred three million, twenty thousand, one hundred".