1083106080 has 240 divisors, whose sum is σ = 4368893760. Its totient is φ = 247546368.

The previous prime is 1083106027. The next prime is 1083106081. The reversal of 1083106080 is 806013801.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1083106081) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 84751 + ... + 96689.

It is an arithmetic number, because the mean of its divisors is an integer number (18203724).

Almost surely, 2^1083106080 is an apocalyptic number.

1083106080 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 1083106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184446880).

1083106080 is an abundant number, since it is smaller than the sum of its proper divisors (3285787680).

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

1083106080 is a wasteful number, since it uses less digits than its factorization.

1083106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11956 counting only the distinct ones).

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

The square root of 1083106080 is about 32910.5770232003. The cubic root of 1083106080 is about 1026.9682047506.

Adding to 1083106080 its reverse (806013801), we get a palindrome (1889119881).

The spelling of 1083106080 in words is "one billion, eighty-three million, one hundred six thousand, eighty".