10080345506171 has 16 divisors (see below), whose sum is σ = 10751890464000. Its totient is φ = 9417775868928.

The previous prime is 10080345506107. The next prime is 10080345506191. The reversal of 10080345506171 is 17160554308001.

It is a cyclic number.

It is not a de Polignac number, because 10080345506171 - 2⁶ = 10080345506107 is a prime.

It is a super-2 number, since 2×10080345506171² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10080345506191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2486426 + ... + 5132543.

It is an arithmetic number, because the mean of its divisors is an integer number (671993154000).

Almost surely, 2^{10080345506171} is an apocalyptic number.

10080345506171 is a deficient number, since it is larger than the sum of its proper divisors (671544957829).

10080345506171 is a wasteful number, since it uses less digits than its factorization.

10080345506171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619558.

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 10080345506171 in words is "ten trillion, eighty billion, three hundred forty-five million, five hundred six thousand, one hundred seventy-one".