8005966101 has 64 divisors (see below), whose sum is σ = 14137589760. Its totient is φ = 4381309440.

The previous prime is 8005966069. The next prime is 8005966159. The reversal of 8005966101 is 1016695008.

8005966101 is a `hidden beast` number, since 8 + 0 + 0 + 596 + 61 + 0 + 1 = 666.

It is not a de Polignac number, because 8005966101 - 2⁵ = 8005966069 is a prime.

It is a super-2 number, since 2×8005966101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005916101) 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 63 ways as a sum of consecutive naturals, for example, 561280 + ... + 575366.

It is an arithmetic number, because the mean of its divisors is an integer number (220899840).

Almost surely, 2^8005966101 is an apocalyptic number.

It is an amenable number.

8005966101 is a deficient number, since it is larger than the sum of its proper divisors (6131623659).

8005966101 is a wasteful number, since it uses less digits than its factorization.

8005966101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231 (or 14225 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8005966101 is about 89476.0644027217. The cubic root of 8005966101 is about 2000.4970515430.

The spelling of 8005966101 in words is "eight billion, five million, nine hundred sixty-six thousand, one hundred one".