10000171682105 has 32 divisors (see below), whose sum is σ = 14463861458688. Its totient is φ = 6547426969600.

The previous prime is 10000171682093. The next prime is 10000171682141. The reversal of 10000171682105 is 50128617100001.

It is not a de Polignac number, because 10000171682105 - 2⁸ = 10000171681849 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232486556 + ... + 232529565.

It is an arithmetic number, because the mean of its divisors is an integer number (451995670584).

Almost surely, 2^{10000171682105} is an apocalyptic number.

It is an amenable number.

10000171682105 is a deficient number, since it is larger than the sum of its proper divisors (4463689776583).

10000171682105 is a wasteful number, since it uses less digits than its factorization.

10000171682105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465016177.

The product of its (nonzero) digits is 3360, while the sum is 32.

Adding to 10000171682105 its reverse (50128617100001), we get a palindrome (60128788782106).

The spelling of 10000171682105 in words is "ten trillion, one hundred seventy-one million, six hundred eighty-two thousand, one hundred five".