10085800 has 48 divisors (see below), whose sum is σ = 23659200. Its totient is φ = 3998400.

The previous prime is 10085797. The next prime is 10085813. The reversal of 10085800 is 858001.

10085800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42081 + ... + 42319.

It is an arithmetic number, because the mean of its divisors is an integer number (492900).

Almost surely, 2^10085800 is an apocalyptic number.

10085800 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 10085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829600).

10085800 is an abundant number, since it is smaller than the sum of its proper divisors (13573400).

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

10085800 is a wasteful number, since it uses less digits than its factorization.

10085800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 10085800 is about 3175.8148560645. The cubic root of 10085800 is about 216.0578834354.

The spelling of 10085800 in words is "ten million, eighty-five thousand, eight hundred".