106808162650511 has 48 divisors (see below), whose sum is σ = 125020594575360. Its totient is φ = 90981286482240.

The previous prime is 106808162650507. The next prime is 106808162650543. The reversal of 106808162650511 is 115056261808601.

It is not a de Polignac number, because 106808162650511 - 2² = 106808162650507 is a prime.

It is a super-2 number, since 2×106808162650511² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106808162650511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106808162650591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9041572241 + ... + 9041584053.

It is an arithmetic number, because the mean of its divisors is an integer number (2604595720320).

Almost surely, 2^{106808162650511} is an apocalyptic number.

106808162650511 is a deficient number, since it is larger than the sum of its proper divisors (18212431924849).

106808162650511 is a wasteful number, since it uses less digits than its factorization.

106808162650511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13764 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 50.

The spelling of 106808162650511 in words is "one hundred six trillion, eight hundred eight billion, one hundred sixty-two million, six hundred fifty thousand, five hundred eleven".