11300 has 18 divisors (see below), whose sum is σ = 24738. Its totient is φ = 4480.

The previous prime is 11299. The next prime is 11311. The reversal of 11300 is 311.

11300 = 8² + 9² + ... + 32².

It can be written as a sum of positive squares in 3 ways, for example, as 64 + 11236 = 8^2 + 106^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an Ulam number.

11300 is an undulating number in base 15.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44 + ... + 156.

2¹¹³⁰⁰ is an apocalyptic number.

11300 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 11300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369).

11300 is an abundant number, since it is smaller than the sum of its proper divisors (13438).

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

11300 is a wasteful number, since it uses less digits than its factorization.

11300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 11300 is about 106.3014581273. The cubic root of 11300 is about 22.4401702659.

Adding to 11300 its reverse (311), we get a palindrome (11611).

The spelling of 11300 in words is "eleven thousand, three hundred", and thus it is an iban number.