106711705767 has 4 divisors (see below), whose sum is σ = 142282274360. Its totient is φ = 71141137176.

The previous prime is 106711705753. The next prime is 106711705777. The reversal of 106711705767 is 767507117601.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 106711705767 - 2¹⁵ = 106711672999 is a prime.

It is a super-3 number, since 3×106711705767³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106711705747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17785284292 + ... + 17785284297.

It is an arithmetic number, because the mean of its divisors is an integer number (35570568590).

Almost surely, 2^106711705767 is an apocalyptic number.

106711705767 is a deficient number, since it is larger than the sum of its proper divisors (35570568593).

106711705767 is an equidigital number, since it uses as much as digits as its factorization.

106711705767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35570568592.

The product of its (nonzero) digits is 432180, while the sum is 48.

The spelling of 106711705767 in words is "one hundred six billion, seven hundred eleven million, seven hundred five thousand, seven hundred sixty-seven".