11100312 has 48 divisors (see below), whose sum is σ = 30292080. Its totient is φ = 3672000.

The previous prime is 11100311. The next prime is 11100361. The reversal of 11100312 is 21300111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11100294 and 11100303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100311) 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, 10362 + ... + 11382.

It is an arithmetic number, because the mean of its divisors is an integer number (631085).

Almost surely, 2^11100312 is an apocalyptic number.

11100312 is a gapful number since it is divisible by the number (12) 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 11100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146040).

11100312 is an abundant number, since it is smaller than the sum of its proper divisors (19191768).

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

11100312 is a wasteful number, since it uses less digits than its factorization.

11100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11100312 is about 3331.7130728801. The cubic root of 11100312 is about 223.0720004524.

Adding to 11100312 its reverse (21300111), we get a palindrome (32400423).

The spelling of 11100312 in words is "eleven million, one hundred thousand, three hundred twelve".