10085000 has 40 divisors (see below), whose sum is σ = 23640870. Its totient is φ = 4032000.

The previous prime is 10084967. The next prime is 10085027. The reversal of 10085000 is 58001.

It can be written as a sum of positive squares in 5 ways, for example, as 879844 + 9205156 = 938^2 + 3034^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3992 + ... + 6008.

Almost surely, 2^10085000 is an apocalyptic number.

10085000 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 10085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11820435).

10085000 is an abundant number, since it is smaller than the sum of its proper divisors (13555870).

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

10085000 is an equidigital number, since it uses as much as digits as its factorization.

10085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 10085000 is about 3175.6889016401. The cubic root of 10085000 is about 216.0521707543.

The spelling of 10085000 in words is "ten million, eighty-five thousand".