1106804160 has 1008 divisors, whose sum is σ = 5203740672. Its totient is φ = 212889600.

The previous prime is 1106804147. The next prime is 1106804177. The reversal of 1106804160 is 614086011.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35703345 + ... + 35703375.

Almost surely, 2^1106804160 is an apocalyptic number.

1106804160 is a gapful number since it is divisible by the number (10) 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 1106804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601870336).

1106804160 is an abundant number, since it is smaller than the sum of its proper divisors (4096936512).

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

1106804160 is a wasteful number, since it uses less digits than its factorization.

1106804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1106804160 is about 33268.6663393650. Note that the first 3 decimals coincide. The cubic root of 1106804160 is about 1034.4041659097.

The spelling of 1106804160 in words is "one billion, one hundred six million, eight hundred four thousand, one hundred sixty".