106765566117 has 16 divisors (see below), whose sum is σ = 167087425152. Its totient is φ = 59360005440.

The previous prime is 106765566107. The next prime is 106765566119. The reversal of 106765566117 is 711665567601.

It is not a de Polignac number, because 106765566117 - 2¹⁴ = 106765549733 is a prime.

It is a super-2 number, since 2×106765566117² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106765566117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106765566119) 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, 68702934 + ... + 68704487.

It is an arithmetic number, because the mean of its divisors is an integer number (10442964072).

Almost surely, 2^106765566117 is an apocalyptic number.

It is an amenable number.

106765566117 is a deficient number, since it is larger than the sum of its proper divisors (60321859035).

106765566117 is a wasteful number, since it uses less digits than its factorization.

106765566117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137407468.

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 106765566117 in words is "one hundred six billion, seven hundred sixty-five million, five hundred sixty-six thousand, one hundred seventeen".