10006506 has 48 divisors (see below), whose sum is σ = 23427144. Its totient is φ = 3075072.

The previous prime is 10006499. The next prime is 10006511. The reversal of 10006506 is 60560001.

10006506 is a `hidden beast` number, since 10 + 0 + 0 + 650 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8208225 + 1798281 = 2865^2 + 1341^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15910 + ... + 16526.

Almost surely, 2^10006506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713572).

10006506 is an abundant number, since it is smaller than the sum of its proper divisors (13420638).

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

10006506 is a wasteful number, since it uses less digits than its factorization.

10006506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10006506 is about 3163.3061818294. The cubic root of 10006506 is about 215.4901813813.

Adding to 10006506 its reverse (60560001), we get a palindrome (70566507).

The spelling of 10006506 in words is "ten million, six thousand, five hundred six".