10991112 has 128 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 2995200.

The previous prime is 10991111. The next prime is 10991117. The reversal of 10991112 is 21119901.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10991111) 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 31 ways as a sum of consecutive naturals, for example, 139089 + ... + 139167.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 2^10991112 is an apocalyptic number.

10991112 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 10991112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

10991112 is an abundant number, since it is smaller than the sum of its proper divisors (22186488).

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

10991112 is a wasteful number, since it uses less digits than its factorization.

10991112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The square root of 10991112 is about 3315.2846031676. The cubic root of 10991112 is about 222.3380937197.

It can be divided in two parts, 1099 and 1112, that added together give a triangular number (2211 = T₆₆).

The spelling of 10991112 in words is "ten million, nine hundred ninety-one thousand, one hundred twelve".