11082300 has 144 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 2662400.

The previous prime is 11082293. The next prime is 11082307. The reversal of 11082300 is 328011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11082293) and next prime (11082307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11082300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11082307) 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 47 ways as a sum of consecutive naturals, for example, 209074 + ... + 209126.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 2^11082300 is an apocalyptic number.

11082300 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 11082300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

11082300 is an abundant number, since it is smaller than the sum of its proper divisors (24352932).

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

11082300 is a wasteful number, since it uses less digits than its factorization.

11082300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11082300 is about 3329.0088615082. The cubic root of 11082300 is about 222.9512786775.

The spelling of 11082300 in words is "eleven million, eighty-two thousand, three hundred".