11327100 has 72 divisors (see below), whose sum is σ = 34716528. Its totient is φ = 2841600.

The previous prime is 11327077. The next prime is 11327123. The reversal of 11327100 is 172311.

It is an interprime number because it is at equal distance from previous prime (11327077) and next prime (11327123).

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 11327100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3990 + ... + 6210.

It is an arithmetic number, because the mean of its divisors is an integer number (482174).

Almost surely, 2^11327100 is an apocalyptic number.

11327100 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 11327100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358264).

11327100 is an abundant number, since it is smaller than the sum of its proper divisors (23389428).

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

11327100 is a wasteful number, since it uses less digits than its factorization.

11327100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11327100 is about 3365.5757308371. The cubic root of 11327100 is about 224.5809484163.

Adding to 11327100 its reverse (172311), we get a palindrome (11499411).

The spelling of 11327100 in words is "eleven million, three hundred twenty-seven thousand, one hundred".