10006131 has 8 divisors (see below), whose sum is σ = 13801680. Its totient is φ = 6440672.

The previous prime is 10006121. The next prime is 10006151. The reversal of 10006131 is 13160001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10006131 - 2⁶ = 10006067 is a prime.

It is a super-2 number, since 2×10006131² = 200245315178322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10006111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 57420 + ... + 57593.

It is an arithmetic number, because the mean of its divisors is an integer number (1725210).

Almost surely, 2^10006131 is an apocalyptic number.

10006131 is a deficient number, since it is larger than the sum of its proper divisors (3795549).

10006131 is a wasteful number, since it uses less digits than its factorization.

10006131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115045.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10006131 is about 3163.2469078464. The cubic root of 10006131 is about 215.4874894717.

Adding to 10006131 its reverse (13160001), we get a palindrome (23166132).

The spelling of 10006131 in words is "ten million, six thousand, one hundred thirty-one".