1106404416 has 168 divisors, whose sum is σ = 3443061440. Its totient is φ = 337665024.

The previous prime is 1106404381. The next prime is 1106404441. The reversal of 1106404416 is 6144046011.

1106404416 is a `hidden beast` number, since 1 + 1 + 0 + 640 + 4 + 4 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1106404416.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1040301 + ... + 1041363.

Almost surely, 2^1106404416 is an apocalyptic number.

1106404416 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 1106404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721530720).

1106404416 is an abundant number, since it is smaller than the sum of its proper divisors (2336657024).

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

1106404416 is a wasteful number, since it uses less digits than its factorization.

1106404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1106404416 is about 33262.6579815865. The cubic root of 1106404416 is about 1034.2796191396.

The spelling of 1106404416 in words is "one billion, one hundred six million, four hundred four thousand, four hundred sixteen".