10006605 has 32 divisors (see below), whose sum is σ = 20332800. Its totient is φ = 4574016.

The previous prime is 10006603. The next prime is 10006627. The reversal of 10006605 is 50660001.

10006605 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 660 + 5 = 666.

It is not a de Polignac number, because 10006605 - 2¹ = 10006603 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 4350 + ... + 6239.

It is an arithmetic number, because the mean of its divisors is an integer number (635400).

Almost surely, 2^10006605 is an apocalyptic number.

10006605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10006605 is an abundant number, since it is smaller than the sum of its proper divisors (10326195).

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

10006605 is a wasteful number, since it uses less digits than its factorization.

10006605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10610 (or 10604 counting only the distinct ones).

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

The square root of 10006605 is about 3163.3218299756. The cubic root of 10006605 is about 215.4908920342.

Adding to 10006605 its reverse (50660001), we get a palindrome (60666606).

The spelling of 10006605 in words is "ten million, six thousand, six hundred five".