10084200 has 144 divisors (see below), whose sum is σ = 36470880. Its totient is φ = 2304960.

The previous prime is 10084183. The next prime is 10084223. The reversal of 10084200 is 248001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10084200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1440597 + ... + 1440603.

It is an arithmetic number, because the mean of its divisors is an integer number (253270).

Almost surely, 2^10084200 is an apocalyptic number.

10084200 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 10084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18235440).

10084200 is an abundant number, since it is smaller than the sum of its proper divisors (26386680).

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

10084200 is an frugal number, since it uses more digits than its factorization.

10084200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10084200 is about 3175.5629422199. The cubic root of 10084200 is about 216.0464577711.

The spelling of 10084200 in words is "ten million, eighty-four thousand, two hundred".