2085100 has 36 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 804160.

The previous prime is 2085089. The next prime is 2085121. The reversal of 2085100 is 15802.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 2541 + ... + 3259.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

2^2085100 is an apocalyptic number.

2085100 is a gapful number since it is divisible by the number (20) 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 2085100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2085100 is an abundant number, since it is smaller than the sum of its proper divisors (2602100).

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

2085100 is a wasteful number, since it uses less digits than its factorization.

2085100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2085100 is about 1443.9875345722. The cubic root of 2085100 is about 127.7543302211.

The spelling of 2085100 in words is "two million, eighty-five thousand, one hundred".