11820100 has 54 divisors (see below), whose sum is σ = 27313790. Its totient is φ = 4439040.

The previous prime is 11820089. The next prime is 11820103. The reversal of 11820100 is 102811.

It can be written as a sum of positive squares in 9 ways, for example, as 256 + 11819844 = 16^2 + 3438^2 .

It is not an unprimeable number, because it can be changed into a prime (11820103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28696 + ... + 29104.

Almost surely, 2^11820100 is an apocalyptic number.

11820100 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 11820100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656895).

11820100 is an abundant number, since it is smaller than the sum of its proper divisors (15493690).

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

11820100 is a wasteful number, since it uses less digits than its factorization.

11820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 11820100 is about 3438.0372307466. The cubic root of 11820100 is about 227.7930049088.

Adding to 11820100 its reverse (102811), we get a palindrome (11922911).

The spelling of 11820100 in words is "eleven million, eight hundred twenty thousand, one hundred".