106767743667 has 8 divisors (see below), whose sum is σ = 153307529424. Its totient is φ = 65703226848.

The previous prime is 106767743633. The next prime is 106767743701. The reversal of 106767743667 is 766347767601.

It is an interprime number because it is at equal distance from previous prime (106767743633) and next prime (106767743701).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106767743667 - 2¹⁹ = 106767219379 is a prime.

It is a super-2 number, since 2×106767743667² (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 106767743667.

It is not an unprimeable number, because it can be changed into a prime (106767743617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368817188 + ... + 1368817265.

It is an arithmetic number, because the mean of its divisors is an integer number (19163441178).

Almost surely, 2^106767743667 is an apocalyptic number.

106767743667 is a deficient number, since it is larger than the sum of its proper divisors (46539785757).

106767743667 is a wasteful number, since it uses less digits than its factorization.

106767743667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737634469.

The product of its (nonzero) digits is 37340352, while the sum is 60.

The spelling of 106767743667 in words is "one hundred six billion, seven hundred sixty-seven million, seven hundred forty-three thousand, six hundred sixty-seven".