106827981689 has 64 divisors (see below), whose sum is σ = 131361834240. Its totient is φ = 85578240000.

The previous prime is 106827981679. The next prime is 106827981719. The reversal of 106827981689 is 986189728601.

It is not a de Polignac number, because 106827981689 - 2²⁰ = 106826933113 is a prime.

It is a super-2 number, since 2×106827981689² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106827981679) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52701494 + ... + 52703520.

It is an arithmetic number, because the mean of its divisors is an integer number (2052528660).

Almost surely, 2^106827981689 is an apocalyptic number.

It is an amenable number.

106827981689 is a deficient number, since it is larger than the sum of its proper divisors (24533852551).

106827981689 is a wasteful number, since it uses less digits than its factorization.

106827981689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282.

The product of its (nonzero) digits is 20901888, while the sum is 65.

The spelling of 106827981689 in words is "one hundred six billion, eight hundred twenty-seven million, nine hundred eighty-one thousand, six hundred eighty-nine".