11100100 has 36 divisors (see below), whose sum is σ = 26279568. Its totient is φ = 4036000.

The previous prime is 11100097. The next prime is 11100101. The reversal of 11100100 is 100111.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 11100100.

It is not an unprimeable number, because it can be changed into a prime (11100101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3946 + ... + 6145.

It is an arithmetic number, because the mean of its divisors is an integer number (729988).

Almost surely, 2^11100100 is an apocalyptic number.

11100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100100 is an abundant number, since it is smaller than the sum of its proper divisors (15179468).

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

11100100 is a wasteful number, since it uses less digits than its factorization.

11100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 11100100 is about 3331.6812572634. The cubic root of 11100100 is about 223.0705803252.

Adding to 11100100 its reverse (100111), we get a palindrome (11200211).

The spelling of 11100100 in words is "eleven million, one hundred thousand, one hundred".