10084500 has 144 divisors (see below), whose sum is σ = 33388992. Its totient is φ = 2656800.

The previous prime is 10084499. The next prime is 10084507. The reversal of 10084500 is 548001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121459 + ... + 121541.

It is an arithmetic number, because the mean of its divisors is an integer number (231868).

Almost surely, 2^10084500 is an apocalyptic number.

10084500 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 10084500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694496).

10084500 is an abundant number, since it is smaller than the sum of its proper divisors (23304492).

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

10084500 is an equidigital number, since it uses as much as digits as its factorization.

10084500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10084500 is about 3175.6101775879. The cubic root of 10084500 is about 216.0486001752.

The spelling of 10084500 in words is "ten million, eighty-four thousand, five hundred".