10082008 has 24 divisors (see below), whose sum is σ = 19956780. Its totient is φ = 4774320.

The previous prime is 10081997. The next prime is 10082021. The reversal of 10082008 is 80028001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1143 + ... + 4633.

Almost surely, 2^10082008 is an apocalyptic number.

It is an amenable number.

10082008 is a deficient number, since it is larger than the sum of its proper divisors (9874772).

10082008 is a wasteful number, since it uses less digits than its factorization.

10082008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10082008 is about 3175.2177878061. The cubic root of 10082008 is about 216.0308026488.

It can be divided in two parts, 1008200 and 8, that multiplied together give a square (8065600 = 2840²).

The spelling of 10082008 in words is "ten million, eighty-two thousand, eight".