10056006 has 24 divisors (see below), whose sum is σ = 21856224. Its totient is φ = 3341520.

The previous prime is 10056001. The next prime is 10056089. The reversal of 10056006 is 60065001.

10056006 is a `hidden beast` number, since 100 + 560 + 0 + 6 = 666.

It is a super-2 number, since 2×10056006² = 202246513344072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10056006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056001) 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 11 ways as a sum of consecutive naturals, for example, 6915 + ... + 8241.

It is an arithmetic number, because the mean of its divisors is an integer number (910676).

Almost surely, 2^10056006 is an apocalyptic number.

10056006 is an abundant number, since it is smaller than the sum of its proper divisors (11800218).

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

10056006 is a wasteful number, since it uses less digits than its factorization.

10056006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1753 counting only the distinct ones).

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

The square root of 10056006 is about 3171.1206221145. The cubic root of 10056006 is about 215.8449246999.

The spelling of 10056006 in words is "ten million, fifty-six thousand, six".