11140100 has 36 divisors (see below), whose sum is σ = 25599924. Its totient is φ = 4193280.

The previous prime is 11140093. The next prime is 11140111. The reversal of 11140100 is 104111.

It can be written as a sum of positive squares in 6 ways, for example, as 64516 + 11075584 = 254^2 + 3328^2 .

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 11 ways as a sum of consecutive naturals, for example, 1577 + ... + 4976.

It is an arithmetic number, because the mean of its divisors is an integer number (711109).

Almost surely, 2^11140100 is an apocalyptic number.

11140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11140100 is an abundant number, since it is smaller than the sum of its proper divisors (14459824).

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

11140100 is a wasteful number, since it uses less digits than its factorization.

11140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 11140100 is about 3337.6788341601. The cubic root of 11140100 is about 223.3382093438.

Adding to 11140100 its reverse (104111), we get a palindrome (11244211).

The spelling of 11140100 in words is "eleven million, one hundred forty thousand, one hundred".