10001005000 has 160 divisors (see below), whose sum is σ = 27126316800. Its totient is φ = 3384576000.

The previous prime is 10001004983. The next prime is 10001005013. The reversal of 10001005000 is 50010001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2763192 + ... + 2766808.

It is an arithmetic number, because the mean of its divisors is an integer number (169539480).

Almost surely, 2^10001005000 is an apocalyptic number.

10001005000 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 10001005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13563158400).

10001005000 is an abundant number, since it is smaller than the sum of its proper divisors (17125311800).

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

10001005000 is an equidigital number, since it uses as much as digits as its factorization.

10001005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

Adding to 10001005000 its reverse (50010001), we get a palindrome (10051015001).

The spelling of 10001005000 in words is "ten billion, one million, five thousand".