1105459120 has 80 divisors (see below), whose sum is σ = 2774554560. Its totient is φ = 408353792.

The previous prime is 1105459073. The next prime is 1105459123. The reversal of 1105459120 is 219545011.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1105459123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43002 + ... + 63718.

It is an arithmetic number, because the mean of its divisors is an integer number (34681932).

Almost surely, 2^1105459120 is an apocalyptic number.

1105459120 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 1105459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387277280).

1105459120 is an abundant number, since it is smaller than the sum of its proper divisors (1669095440).

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

1105459120 is a wasteful number, since it uses less digits than its factorization.

1105459120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20782 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 1105459120 is about 33248.4453771902. The cubic root of 1105459120 is about 1033.9849773404.

The spelling of 1105459120 in words is "one billion, one hundred five million, four hundred fifty-nine thousand, one hundred twenty".