1085301000 has 576 divisors, whose sum is σ = 4494372480. Its totient is φ = 235065600.

The previous prime is 1085300969. The next prime is 1085301011. The reversal of 1085301000 is 1035801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10142947 + ... + 10143053.

It is an arithmetic number, because the mean of its divisors is an integer number (7802730).

Almost surely, 2^1085301000 is an apocalyptic number.

1085301000 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 1085301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247186240).

1085301000 is an abundant number, since it is smaller than the sum of its proper divisors (3409071480).

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

1085301000 is a wasteful number, since it uses less digits than its factorization.

1085301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1085301000 is about 32943.9068721365. The cubic root of 1085301000 is about 1027.6614554390.

Adding to 1085301000 its reverse (1035801), we get a palindrome (1086336801).

The spelling of 1085301000 in words is "one billion, eighty-five million, three hundred one thousand".