23132100 has 72 divisors (see below), whose sum is σ = 67808160. Its totient is φ = 6087680.

The previous prime is 23132099. The next prime is 23132113. The reversal of 23132100 is 123132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 24436 + ... + 25364.

It is an arithmetic number, because the mean of its divisors is an integer number (941780).

Almost surely, 2^23132100 is an apocalyptic number.

23132100 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 23132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33904080).

23132100 is an abundant number, since it is smaller than the sum of its proper divisors (44676060).

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

23132100 is a wasteful number, since it uses less digits than its factorization.

23132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23132100 is about 4809.5841816107. The cubic root of 23132100 is about 284.9301152134.

Adding to 23132100 its reverse (123132), we get a palindrome (23255232).

It can be divided in two parts, 23132 and 100, that added together give a palindrome (23232).

The spelling of 23132100 in words is "twenty-three million, one hundred thirty-two thousand, one hundred".