23032100 has 72 divisors (see below), whose sum is σ = 61537728. Its totient is φ = 7286400.

The previous prime is 23032099. The next prime is 23032103. The reversal of 23032100 is 123032.

It is not an unprimeable number, because it can be changed into a prime (23032103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7835 + ... + 10365.

Almost surely, 2^23032100 is an apocalyptic number.

23032100 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 23032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30768864).

23032100 is an abundant number, since it is smaller than the sum of its proper divisors (38505628).

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

23032100 is a wasteful number, since it uses less digits than its factorization.

23032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 23032100 is about 4799.1770127804. The cubic root of 23032100 is about 284.5189381216.

Adding to 23032100 its reverse (123032), we get a palindrome (23155132).

It can be divided in two parts, 23032 and 100, that added together give a palindrome (23132).

The spelling of 23032100 in words is "twenty-three million, thirty-two thousand, one hundred".