10005606 has 40 divisors (see below), whose sum is σ = 24149664. Its totient is φ = 3078000.

The previous prime is 10005601. The next prime is 10005607. The reversal of 10005606 is 60650001.

10005606 is a `hidden beast` number, since 100 + 0 + 560 + 6 = 666.

It is a super-2 number, since 2×10005606² = 200224302854472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 270 + ... + 4481.

Almost surely, 2^10005606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074832).

10005606 is an abundant number, since it is smaller than the sum of its proper divisors (14144058).

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

10005606 is a wasteful number, since it uses less digits than its factorization.

10005606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4769 counting only the distinct ones).

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

The square root of 10005606 is about 3163.1639224043. The cubic root of 10005606 is about 215.4837206853.

Adding to 10005606 its reverse (60650001), we get a palindrome (70655607).

The spelling of 10005606 in words is "ten million, five thousand, six hundred six".