23825100 has 144 divisors (see below), whose sum is σ = 76557600. Its totient is φ = 5683200.

The previous prime is 23825093. The next prime is 23825117. The reversal of 23825100 is 152832.

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 47 ways as a sum of consecutive naturals, for example, 159826 + ... + 159974.

It is an arithmetic number, because the mean of its divisors is an integer number (531650).

Almost surely, 2^23825100 is an apocalyptic number.

23825100 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 23825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38278800).

23825100 is an abundant number, since it is smaller than the sum of its proper divisors (52732500).

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

23825100 is a wasteful number, since it uses less digits than its factorization.

23825100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 23825100 is about 4881.0961883577. The cubic root of 23825100 is about 287.7475121206.

Adding to 23825100 its reverse (152832), we get a palindrome (23977932).

The spelling of 23825100 in words is "twenty-three million, eight hundred twenty-five thousand, one hundred".