106008946057179 has 20 divisors (see below), whose sum is σ = 172755319502040. Its totient is φ = 64247846094720.

The previous prime is 106008946057129. The next prime is 106008946057211. The reversal of 106008946057179 is 971750649800601.

106008946057179 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 8 + 9 + 4 + 605 + 7 + 17 + 9 = 666.

It is not a de Polignac number, because 106008946057179 - 2¹⁶ = 106008945991643 is a prime.

It is a super-2 number, since 2×106008946057179² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106008946057129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59488745494 + ... + 59488747275.

It is an arithmetic number, because the mean of its divisors is an integer number (8637765975102).

Almost surely, 2^{106008946057179} is an apocalyptic number.

106008946057179 is a deficient number, since it is larger than the sum of its proper divisors (66746373444861).

106008946057179 is a wasteful number, since it uses less digits than its factorization.

106008946057179 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118977492792 (or 118977492783 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 106008946057179 in words is "one hundred six trillion, eight billion, nine hundred forty-six million, fifty-seven thousand, one hundred seventy-nine".