10006500 has 96 divisors (see below), whose sum is σ = 33336576. Its totient is φ = 2284800.

The previous prime is 10006499. The next prime is 10006511. The reversal of 10006500 is 560001.

10006500 = T₃₃₆ + T₃₃₇ + ... + T₄₆₀.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10024 + ... + 10976.

It is an arithmetic number, because the mean of its divisors is an integer number (347256).

Almost surely, 2^10006500 is an apocalyptic number.

10006500 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 10006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668288).

10006500 is an abundant number, since it is smaller than the sum of its proper divisors (23330076).

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

10006500 is a wasteful number, since it uses less digits than its factorization.

10006500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10006500 is about 3163.3052334544. The cubic root of 10006500 is about 215.4901383112.

Adding to 10006500 its reverse (560001), we get a palindrome (10566501).

The spelling of 10006500 in words is "ten million, six thousand, five hundred".