1106181216 has 144 divisors (see below), whose sum is σ = 3784435200. Its totient is φ = 299407104.

The previous prime is 1106181187. The next prime is 1106181221. The reversal of 1106181216 is 6121816011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1106181216.

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, 23865 + ... + 52743.

It is an arithmetic number, because the mean of its divisors is an integer number (26280800).

Almost surely, 2^1106181216 is an apocalyptic number.

1106181216 is a gapful number since it is divisible by the number (16) 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 1106181216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892217600).

1106181216 is an abundant number, since it is smaller than the sum of its proper divisors (2678253984).

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

1106181216 is a wasteful number, since it uses less digits than its factorization.

1106181216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28921 (or 28910 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1106181216 is about 33259.3026986436. The cubic root of 1106181216 is about 1034.2100644834.

Adding to 1106181216 its reverse (6121816011), we get a palindrome (7227997227).

The spelling of 1106181216 in words is "one billion, one hundred six million, one hundred eighty-one thousand, two hundred sixteen".