11368100 has 36 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 4486560.

The previous prime is 11368081. The next prime is 11368153. The reversal of 11368100 is 186311.

It is a super-2 number, since 2×11368100² = 258467395220000, which contains 22 as substring.

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

It is an unprimeable number.

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, 7181 + ... + 8619.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 2^11368100 is an apocalyptic number.

11368100 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 11368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

11368100 is an abundant number, since it is smaller than the sum of its proper divisors (13630300).

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

11368100 is a wasteful number, since it uses less digits than its factorization.

11368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11368100 is about 3371.6613115792. The cubic root of 11368100 is about 224.8515893723.

The spelling of 11368100 in words is "eleven million, three hundred sixty-eight thousand, one hundred".