11053800 has 192 divisors, whose sum is σ = 40176000. Its totient is φ = 2787840.

The previous prime is 11053793. The next prime is 11053807. The reversal of 11053800 is 835011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11053793) and next prime (11053807).

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11053807) 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, 124156 + ... + 124244.

It is an arithmetic number, because the mean of its divisors is an integer number (209250).

Almost surely, 2^11053800 is an apocalyptic number.

11053800 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 11053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088000).

11053800 is an abundant number, since it is smaller than the sum of its proper divisors (29122200).

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

11053800 is a wasteful number, since it uses less digits than its factorization.

11053800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

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

The square root of 11053800 is about 3324.7255525833. The cubic root of 11053800 is about 222.7599956970.

Adding to 11053800 its reverse (835011), we get a palindrome (11888811).

The spelling of 11053800 in words is "eleven million, fifty-three thousand, eight hundred".