105676572212171 has 16 divisors (see below), whose sum is σ = 106539911712000. Its totient is φ = 104815379678688.

The previous prime is 105676572212147. The next prime is 105676572212243. The reversal of 105676572212171 is 171212275676501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105676572212171 is a prime.

It is a super-2 number, since 2×105676572212171² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105676572212131) 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, 342432080 + ... + 342740546.

It is an arithmetic number, because the mean of its divisors is an integer number (6658744482000).

Almost surely, 2^{105676572212171} is an apocalyptic number.

105676572212171 is a deficient number, since it is larger than the sum of its proper divisors (863339499829).

105676572212171 is a wasteful number, since it uses less digits than its factorization.

105676572212171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311938.

The product of its (nonzero) digits is 2469600, while the sum is 53.

The spelling of 105676572212171 in words is "one hundred five trillion, six hundred seventy-six billion, five hundred seventy-two million, two hundred twelve thousand, one hundred seventy-one".