10084120 has 64 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 3784704.

The previous prime is 10084049. The next prime is 10084133. The reversal of 10084120 is 2148001.

10084120 = T₁₀₄ + T₁₀₅ + ... + T₃₉₄.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10084094 and 10084103.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 89184 + ... + 89296.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^10084120 is an apocalyptic number.

10084120 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 10084120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10084120 is an abundant number, since it is smaller than the sum of its proper divisors (14047400).

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

10084120 is a wasteful number, since it uses less digits than its factorization.

10084120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10084120 is about 3175.5503460030. The cubic root of 10084120 is about 216.0458864562.

The spelling of 10084120 in words is "ten million, eighty-four thousand, one hundred twenty".