11305800 has 144 divisors (see below), whose sum is σ = 41492880. Its totient is φ = 2736000.

The previous prime is 11305771. The next prime is 11305813. The reversal of 11305800 is 850311.

It is a happy number.

It is a super-3 number, since 3×11305800³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19515 + ... + 20085.

It is an arithmetic number, because the mean of its divisors is an integer number (288145).

Almost surely, 2^11305800 is an apocalyptic number.

11305800 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 11305800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746440).

11305800 is an abundant number, since it is smaller than the sum of its proper divisors (30187080).

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

11305800 is a wasteful number, since it uses less digits than its factorization.

11305800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11305800 is about 3362.4098500926. The cubic root of 11305800 is about 224.4400893040.

The spelling of 11305800 in words is "eleven million, three hundred five thousand, eight hundred".