20032100 has 36 divisors (see below), whose sum is σ = 47424048. Its totient is φ = 7284000.

The previous prime is 20032097. The next prime is 20032141. The reversal of 20032100 is 123002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8006 + ... + 10205.

Almost surely, 2^20032100 is an apocalyptic number.

20032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20032100 is an abundant number, since it is smaller than the sum of its proper divisors (27391948).

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

20032100 is a wasteful number, since it uses less digits than its factorization.

20032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18236 (or 18229 counting only the distinct ones).

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

The square root of 20032100 is about 4475.7234052162. The cubic root of 20032100 is about 271.5869053778.

Adding to 20032100 its reverse (123002), we get a palindrome (20155102).

The spelling of 20032100 in words is "twenty million, thirty-two thousand, one hundred".