10006388 has 36 divisors (see below), whose sum is σ = 21450240. Its totient is φ = 4061232.

The previous prime is 10006351. The next prime is 10006417. The reversal of 10006388 is 88360001.

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 11 ways as a sum of consecutive naturals, for example, 2381 + ... + 5067.

It is an arithmetic number, because the mean of its divisors is an integer number (595840).

Almost surely, 2^10006388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

10006388 is an abundant number, since it is smaller than the sum of its proper divisors (11443852).

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

10006388 is a wasteful number, since it uses less digits than its factorization.

10006388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10006388 is about 3163.2875304025. The cubic root of 10006388 is about 215.4893343343.

Adding to 10006388 its reverse (88360001), we get a palindrome (98366389).

The spelling of 10006388 in words is "ten million, six thousand, three hundred eighty-eight".