10005131643 has 8 divisors (see below), whose sum is σ = 14366342928. Its totient is φ = 6157004064.

The previous prime is 10005131623. The next prime is 10005131687. The reversal of 10005131643 is 34613150001.

10005131643 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10005131643 - 2¹³ = 10005123451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10005131623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128270880 + ... + 128270957.

It is an arithmetic number, because the mean of its divisors is an integer number (1795792866).

Almost surely, 2^10005131643 is an apocalyptic number.

10005131643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10005131643 is a deficient number, since it is larger than the sum of its proper divisors (4361211285).

10005131643 is a wasteful number, since it uses less digits than its factorization.

10005131643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256541853.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10005131643 its reverse (34613150001), we get a palindrome (44618281644).

The spelling of 10005131643 in words is "ten billion, five million, one hundred thirty-one thousand, six hundred forty-three".