11300112 has 60 divisors (see below), whose sum is σ = 31990140. Its totient is φ = 3723264.

The previous prime is 11300101. The next prime is 11300119. The reversal of 11300112 is 21100311.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 3549456 = 2784^2 + 1884^2 .

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 = 11300094 and 11300103.

It is not an unprimeable number, because it can be changed into a prime (11300119) 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, 13564 + ... + 14372.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 2^11300112 is an apocalyptic number.

11300112 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 11300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995070).

11300112 is an abundant number, since it is smaller than the sum of its proper divisors (20690028).

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

11300112 is a wasteful number, since it uses less digits than its factorization.

11300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 911 counting only the distinct ones).

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

The square root of 11300112 is about 3361.5639217483. The cubic root of 11300112 is about 224.4024440429.

Adding to 11300112 its reverse (21100311), we get a palindrome (32400423).

The spelling of 11300112 in words is "eleven million, three hundred thousand, one hundred twelve".