11808100 has 18 divisors (see below), whose sum is σ = 25623794. Its totient is φ = 4723200.

The previous prime is 11808091. The next prime is 11808103. The reversal of 11808100 is 180811.

It can be written as a sum of positive squares in 3 ways, for example, as 665856 + 11142244 = 816^2 + 3338^2 .

It is a super-2 number, since 2×11808100² = 278862451220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11808103) 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 5 ways as a sum of consecutive naturals, for example, 58941 + ... + 59140.

Almost surely, 2^11808100 is an apocalyptic number.

11808100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11808100 is an abundant number, since it is smaller than the sum of its proper divisors (13815694).

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

11808100 is a wasteful number, since it uses less digits than its factorization.

11808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118095 (or 118088 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The square root of 11808100 is about 3436.2916057867. The cubic root of 11808100 is about 227.7158921483.

Adding to 11808100 its reverse (180811), we get a palindrome (11988911).

The spelling of 11808100 in words is "eleven million, eight hundred eight thousand, one hundred".