106934886081 has 27 divisors (see below), whose sum is σ = 163047346371. Its totient is φ = 67526050464.

The previous prime is 106934886067. The next prime is 106934886083. The reversal of 106934886081 is 180688439601.

The square root of 106934886081 is 327009.

It is a perfect power (a square), and thus also a powerful number.

106934886081 is a `hidden beast` number, since 10 + 6 + 93 + 488 + 60 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 929945025 + 106004941056 = 30495^2 + 325584^2 .

It is not a de Polignac number, because 106934886081 - 2⁹ = 106934885569 is a prime.

It is a super-2 number, since 2×106934886081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106934886083) 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 26 ways as a sum of consecutive naturals, for example, 18636645 + ... + 18642381.

Almost surely, 2^106934886081 is an apocalyptic number.

106934886081 is the 327009-th square number.

106934886081 is the 163505-th centered octagonal number.

It is an amenable number.

106934886081 is a deficient number, since it is larger than the sum of its proper divisors (56112460290).

106934886081 is an frugal number, since it uses more digits than its factorization.

106934886081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 106934886081 in words is "one hundred six billion, nine hundred thirty-four million, eight hundred eighty-six thousand, eighty-one".