10006128 has 60 divisors (see below), whose sum is σ = 30553848. Its totient is φ = 3031680.

The previous prime is 10006121. The next prime is 10006151. The reversal of 10006128 is 82160001.

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 10006128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006121) 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, 1575 + ... + 4742.

Almost surely, 2^10006128 is an apocalyptic number.

10006128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10006128 is an abundant number, since it is smaller than the sum of its proper divisors (20547720).

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

10006128 is a wasteful number, since it uses less digits than its factorization.

10006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10006128 is about 3163.2464336501. The cubic root of 10006128 is about 215.4874679362.

Adding to 10006128 its reverse (82160001), we get a palindrome (92166129).

The spelling of 10006128 in words is "ten million, six thousand, one hundred twenty-eight".