1085311116 has 72 divisors (see below), whose sum is σ = 2907742320. Its totient is φ = 350066880.

The previous prime is 1085311081. The next prime is 1085311133. The reversal of 1085311116 is 6111135801.

It is a happy number.

1085311116 is a `hidden beast` number, since 10 + 8 + 531 + 1 + 116 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1085311116.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98560 + ... + 109016.

It is an arithmetic number, because the mean of its divisors is an integer number (40385310).

Almost surely, 2^1085311116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085311116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453871160).

1085311116 is an abundant number, since it is smaller than the sum of its proper divisors (1822431204).

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

1085311116 is a wasteful number, since it uses less digits than its factorization.

1085311116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1085311116 is about 32944.0604054813. The cubic root of 1085311116 is about 1027.6646483447.

Adding to 1085311116 its reverse (6111135801), we get a palindrome (7196446917).

The spelling of 1085311116 in words is "one billion, eighty-five million, three hundred eleven thousand, one hundred sixteen".