1106042112 has 324 divisors, whose sum is σ = 3784995396. Its totient is φ = 309657600.

The previous prime is 1106042099. The next prime is 1106042137. The reversal of 1106042112 is 2112406011.

It can be written as a sum of positive squares in 2 ways, for example, as 834978816 + 271063296 = 28896^2 + 16464^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10950862 + ... + 10950962.

Almost surely, 2^1106042112 is an apocalyptic number.

1106042112 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 1106042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892497698).

1106042112 is an abundant number, since it is smaller than the sum of its proper divisors (2678953284).

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

1106042112 is a wasteful number, since it uses less digits than its factorization.

1106042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

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

The square root of 1106042112 is about 33257.2114285007. The cubic root of 1106042112 is about 1034.1667114940.

Adding to 1106042112 its reverse (2112406011), we get a palindrome (3218448123).

The spelling of 1106042112 in words is "one billion, one hundred six million, forty-two thousand, one hundred twelve".