11382100 has 36 divisors (see below), whose sum is σ = 25283104. Its totient is φ = 4445280.

The previous prime is 11382089. The next prime is 11382101. The reversal of 11382100 is 128311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382101) by changing a digit.

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, 2977 + ... + 5623.

Almost surely, 2^11382100 is an apocalyptic number.

11382100 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 11382100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12641552).

11382100 is an abundant number, since it is smaller than the sum of its proper divisors (13901004).

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

11382100 is a wasteful number, since it uses less digits than its factorization.

11382100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11382100 is about 3373.7368006411. The cubic root of 11382100 is about 224.9438543035.

The spelling of 11382100 in words is "eleven million, three hundred eighty-two thousand, one hundred".