1106056080 has 160 divisors (see below), whose sum is σ = 3849753600. Its totient is φ = 291852288.

The previous prime is 1106056073. The next prime is 1106056093. The reversal of 1106056080 is 806506011.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 206881 + ... + 212159.

It is an arithmetic number, because the mean of its divisors is an integer number (24060960).

Almost surely, 2^1106056080 is an apocalyptic number.

1106056080 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 1106056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924876800).

1106056080 is an abundant number, since it is smaller than the sum of its proper divisors (2743697520).

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

1106056080 is a wasteful number, since it uses less digits than its factorization.

1106056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1106056080 is about 33257.4214274047. The cubic root of 1106056080 is about 1034.1710649087.

The spelling of 1106056080 in words is "one billion, one hundred six million, fifty-six thousand, eighty".