11900 has 36 divisors (see below), whose sum is σ = 31248. Its totient is φ = 3840.

The previous prime is 11897. The next prime is 11903. The reversal of 11900 is 911.

11900 = 18² + 19² + ... + 34².

11900 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (11897) and next prime (11903).

It is a super-2 number, since 2×11900² = 283220000, which contains 22 as substring.

11900 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 692 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (868).

2¹¹⁹⁰⁰ is an apocalyptic number.

11900 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 11900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624).

11900 is an abundant number, since it is smaller than the sum of its proper divisors (19348).

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

11900 is a wasteful number, since it uses less digits than its factorization.

11900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 11900 is about 109.0871211464. The cubic root of 11900 is about 22.8305121395.

Adding to 11900 its sum of digits (11), we get a palindrome (11911).

The spelling of 11900 in words is "eleven thousand, nine hundred".