106598882665197 has 12 divisors (see below), whose sum is σ = 165820484146044. Its totient is φ = 65599312409280.

The previous prime is 106598882665181. The next prime is 106598882665199. The reversal of 106598882665197 is 791566288895601.

106598882665197 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 98 + 8 + 8 + 2 + 6 + 6 + 519 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72069555805641 + 34529326859556 = 8489379^2 + 5876166^2 .

It is not a de Polignac number, because 106598882665197 - 2⁴ = 106598882665181 is a prime.

It is a super-2 number, since 2×106598882665197² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106598882665199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455550780504 + ... + 455550780737.

It is an arithmetic number, because the mean of its divisors is an integer number (13818373678837).

Almost surely, 2^{106598882665197} is an apocalyptic number.

It is an amenable number.

106598882665197 is a deficient number, since it is larger than the sum of its proper divisors (59221601480847).

106598882665197 is a wasteful number, since it uses less digits than its factorization.

106598882665197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911101561260 (or 911101561257 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 81.

The spelling of 106598882665197 in words is "one hundred six trillion, five hundred ninety-eight billion, eight hundred eighty-two million, six hundred sixty-five thousand, one hundred ninety-seven".