1085601096 has 128 divisors (see below), whose sum is σ = 3208896000. Its totient is φ = 338881536.

The previous prime is 1085601071. The next prime is 1085601103. The reversal of 1085601096 is 6901065801.

1085601096 is a `hidden beast` number, since 1 + 0 + 8 + 560 + 1 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1085601096.

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, 876990 + ... + 878226.

It is an arithmetic number, because the mean of its divisors is an integer number (25069500).

Almost surely, 2^1085601096 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 1085601096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604448000).

1085601096 is an abundant number, since it is smaller than the sum of its proper divisors (2123294904).

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

1085601096 is a wasteful number, since it uses less digits than its factorization.

1085601096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1085601096 is about 32948.4612083782. The cubic root of 1085601096 is about 1027.7561660836.

Adding to 1085601096 its reverse (6901065801), we get a palindrome (7986666897).

The spelling of 1085601096 in words is "one billion, eighty-five million, six hundred one thousand, ninety-six".