11005300 has 36 divisors (see below), whose sum is σ = 24060960. Its totient is φ = 4369120.

The previous prime is 11005283. The next prime is 11005301. The reversal of 11005300 is 350011.

It is a super-2 number, since 2×11005300² = 242233256180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005301) 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, 16371 + ... + 17029.

It is an arithmetic number, because the mean of its divisors is an integer number (668360).

Almost surely, 2^11005300 is an apocalyptic number.

11005300 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 11005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030480).

11005300 is an abundant number, since it is smaller than the sum of its proper divisors (13055660).

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

11005300 is a wasteful number, since it uses less digits than its factorization.

11005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 11005300 is about 3317.4236991979. The cubic root of 11005300 is about 222.4337217900.

Adding to 11005300 its reverse (350011), we get a palindrome (11355311).

It can be divided in two parts, 1100 and 5300, that added together give a square (6400 = 80²).

The spelling of 11005300 in words is "eleven million, five thousand, three hundred".