11424100 has 36 divisors (see below), whose sum is σ = 25873344. Its totient is φ = 4370080.

The previous prime is 11424071. The next prime is 11424107. The reversal of 11424100 is 142411.

It is not an unprimeable number, because it can be changed into a prime (11424107) by changing a digit.

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, 184 + ... + 4783.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 2^11424100 is an apocalyptic number.

11424100 is a gapful number since it is divisible by the number (10) 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 11424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936672).

11424100 is an abundant number, since it is smaller than the sum of its proper divisors (14449244).

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

11424100 is a wasteful number, since it uses less digits than its factorization.

11424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11424100 is about 3379.9556210104. The cubic root of 11424100 is about 225.2201959578.

Adding to 11424100 its reverse (142411), we get a palindrome (11566511).

The spelling of 11424100 in words is "eleven million, four hundred twenty-four thousand, one hundred".