200032100 has 18 divisors (see below), whose sum is σ = 434069874. Its totient is φ = 80012800.

The previous prime is 200032097. The next prime is 200032103. The reversal of 200032100 is 1230002.

It is an interprime number because it is at equal distance from previous prime (200032097) and next prime (200032103).

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 199769956 = 512^2 + 14134^2 .

It is not an unprimeable number, because it can be changed into a prime (200032103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1000061 + ... + 1000260.

It is an arithmetic number, because the mean of its divisors is an integer number (24114993).

Almost surely, 2^200032100 is an apocalyptic number.

200032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200032100 is an abundant number, since it is smaller than the sum of its proper divisors (234037774).

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

200032100 is a wasteful number, since it uses less digits than its factorization.

200032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000335 (or 2000328 counting only the distinct ones).

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

The square root of 200032100 is about 14143.2704845803. The cubic root of 200032100 is about 584.8348329587.

Adding to 200032100 its reverse (1230002), we get a palindrome (201262102).

The spelling of 200032100 in words is "two hundred million, thirty-two thousand, one hundred".