10004500 has 96 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 3392000.

The previous prime is 10004497. The next prime is 10004513. The reversal of 10004500 is 540001.

It is a Harshad number since it is a multiple of its sum of digits (10).

10004500 is a modest number, since divided by 4500 gives 1000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93447 + ... + 93553.

It is an arithmetic number, because the mean of its divisors is an integer number (265356).

Almost surely, 2^10004500 is an apocalyptic number.

10004500 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 10004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

10004500 is an abundant number, since it is smaller than the sum of its proper divisors (15469676).

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

10004500 is a wasteful number, since it uses less digits than its factorization.

10004500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10004500 is about 3162.9890926148. The cubic root of 10004500 is about 215.4757806773.

Adding to 10004500 its reverse (540001), we get a palindrome (10544501).

The spelling of 10004500 in words is "ten million, four thousand, five hundred".