11881100 has 72 divisors (see below), whose sum is σ = 32164608. Its totient is φ = 3700800.

The previous prime is 11881057. The next prime is 11881117. The reversal of 11881100 is 118811.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6929 + ... + 8471.

Almost surely, 2^11881100 is an apocalyptic number.

11881100 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 11881100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16082304).

11881100 is an abundant number, since it is smaller than the sum of its proper divisors (20283508).

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

11881100 is a wasteful number, since it uses less digits than its factorization.

11881100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 11881100 is about 3446.8971554138. The cubic root of 11881100 is about 228.1841899329.

Adding to 11881100 its reverse (118811), we get a palindrome (11999911).

Multiplying 11881100 by its reverse (118811), we get a square (1411605372100 = 1188110²).

11881100 divided by its reverse (118811) gives a square (100 = 10²).

It can be divided in two parts, 118 and 81100, that added together give a palindrome (81218).

The spelling of 11881100 in words is "eleven million, eight hundred eighty-one thousand, one hundred".