106765689 has 16 divisors (see below), whose sum is σ = 146432000. Its totient is φ = 69155856.

The previous prime is 106765679. The next prime is 106765723. The reversal of 106765689 is 986567601.

It is not a de Polignac number, because 106765689 - 2⁵ = 106765657 is a prime.

It is a super-3 number, since 3×106765689³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106765679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23592 + ... + 27750.

It is an arithmetic number, because the mean of its divisors is an integer number (9152000).

Almost surely, 2^106765689 is an apocalyptic number.

It is an amenable number.

106765689 is a deficient number, since it is larger than the sum of its proper divisors (39666311).

106765689 is a wasteful number, since it uses less digits than its factorization.

106765689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404.

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 106765689 is about 10332.7483759163. The cubic root of 106765689 is about 474.3991501572.

The spelling of 106765689 in words is "one hundred six million, seven hundred sixty-five thousand, six hundred eighty-nine".