1085103032 has 48 divisors (see below), whose sum is σ = 2208034080. Its totient is φ = 499699200.

The previous prime is 1085103017. The next prime is 1085103037. The reversal of 1085103032 is 2303015801.

It is a junction number, because it is equal to n+sod(n) for n = 1085102989 and 1085103007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085103037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1190657 + ... + 1191567.

It is an arithmetic number, because the mean of its divisors is an integer number (46000710).

Almost surely, 2^1085103032 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 1085103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104017040).

1085103032 is an abundant number, since it is smaller than the sum of its proper divisors (1122931048).

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

1085103032 is a wasteful number, since it uses less digits than its factorization.

1085103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1085103032 is about 32940.9021127230. The cubic root of 1085103032 is about 1027.5989669515.

Adding to 1085103032 its reverse (2303015801), we get a palindrome (3388118833).

The spelling of 1085103032 in words is "one billion, eighty-five million, one hundred three thousand, thirty-two".