10006600 has 24 divisors (see below), whose sum is σ = 23265810. Its totient is φ = 4002560.

The previous prime is 10006567. The next prime is 10006603. The reversal of 10006600 is 660001.

It can be written as a sum of positive squares in 3 ways, for example, as 4502884 + 5503716 = 2122^2 + 2346^2 .

10006600 is a modest number, since divided by 6600 gives 1000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24817 + ... + 25216.

Almost surely, 2^10006600 is an apocalyptic number.

10006600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006600 is an abundant number, since it is smaller than the sum of its proper divisors (13259210).

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

10006600 is a wasteful number, since it uses less digits than its factorization.

10006600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50049 (or 50040 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10006600 is about 3163.3210396670. The cubic root of 10006600 is about 215.4908561427.

Adding to 10006600 its reverse (660001), we get a palindrome (10666601).

The spelling of 10006600 in words is "ten million, six thousand, six hundred".