11106144 has 108 divisors (see below), whose sum is σ = 36786204. Its totient is φ = 3169152.

The previous prime is 11106143. The next prime is 11106149. The reversal of 11106144 is 44160111.

11106144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13719 + ... + 14505.

It is an arithmetic number, because the mean of its divisors is an integer number (340613).

Almost surely, 2^11106144 is an apocalyptic number.

11106144 is a gapful number since it is divisible by the number (14) 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 11106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393102).

11106144 is an abundant number, since it is smaller than the sum of its proper divisors (25680060).

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

11106144 is a wasteful number, since it uses less digits than its factorization.

11106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11106144 is about 3332.5881833794. The cubic root of 11106144 is about 223.1110602595. Note that the first 3 decimals are identical.

Adding to 11106144 its reverse (44160111), we get a palindrome (55266255).

The spelling of 11106144 in words is "eleven million, one hundred six thousand, one hundred forty-four".