11164100 has 18 divisors (see below), whose sum is σ = 24226314. Its totient is φ = 4465600.

The previous prime is 11164091. The next prime is 11164103. The reversal of 11164100 is 146111.

It can be written as a sum of positive squares in 3 ways, for example, as 287296 + 10876804 = 536^2 + 3298^2 .

It is not an unprimeable number, because it can be changed into a prime (11164103) 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, 55721 + ... + 55920.

Almost surely, 2^11164100 is an apocalyptic number.

11164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11164100 is an abundant number, since it is smaller than the sum of its proper divisors (13062214).

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

11164100 is a wasteful number, since it uses less digits than its factorization.

11164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111655 (or 111648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 11164100 is about 3341.2722127956. The cubic root of 11164100 is about 223.4984793708.

The spelling of 11164100 in words is "eleven million, one hundred sixty-four thousand, one hundred".