106866589579776 has 1400 divisors, whose sum is σ = 366073319170020. Its totient is φ = 31151394533376.

The previous prime is 106866589579753. The next prime is 106866589579921. The reversal of 106866589579776 is 677975985668601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106866589579776 is a `hidden beast` number, since 10 + 6 + 8 + 6 + 6 + 589 + 5 + 7 + 9 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33295485010176 + 73571104569600 = 5770224^2 + 8577360^2 .

It is a super-2 number, since 2×106866589579776² (a number of 29 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 106866589579776 = 5928³ + 47424³ = 26676³ + 44460³.

It is an unprimeable number.

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 139 ways as a sum of consecutive naturals, for example, 5624557346295 + ... + 5624557346313.

Almost surely, 2^{106866589579776} is an apocalyptic number.

106866589579776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106866589579776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183036659585010).

106866589579776 is an abundant number, since it is smaller than the sum of its proper divisors (259206729590244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106866589579776 is an frugal number, since it uses more digits than its factorization.

106866589579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 57610828800, while the sum is 90.

The spelling of 106866589579776 in words is "one hundred six trillion, eight hundred sixty-six billion, five hundred eighty-nine million, five hundred seventy-nine thousand, seven hundred seventy-six".