10005000 has 160 divisors (see below), whose sum is σ = 33739200. Its totient is φ = 2464000.

The previous prime is 10004983. The next prime is 10005007. The reversal of 10005000 is 50001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10005000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344986 + ... + 345014.

It is an arithmetic number, because the mean of its divisors is an integer number (210870).

Almost surely, 2^10005000 is an apocalyptic number.

10005000 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 10005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869600).

10005000 is an abundant number, since it is smaller than the sum of its proper divisors (23734200).

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

10005000 is a wasteful number, since it uses less digits than its factorization.

10005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 10005000 is about 3163.0681307869. The cubic root of 10005000 is about 215.4793702651.

Adding to 10005000 its reverse (50001), we get a palindrome (10055001).

The spelling of 10005000 in words is "ten million, five thousand".