106265721864767 has 8 divisors (see below), whose sum is σ = 111103821283680. Its totient is φ = 101445776666080.

The previous prime is 106265721864719. The next prime is 106265721864821. The reversal of 106265721864767 is 767468127562601.

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

It is a cyclic number.

It is not a de Polignac number, because 106265721864767 - 2⁶ = 106265721864703 is a prime.

It is a super-2 number, since 2×106265721864767² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106265721864697 and 106265721864706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106265721869767) 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, 4538543084 + ... + 4538566497.

It is an arithmetic number, because the mean of its divisors is an integer number (13887977660460).

Almost surely, 2^{106265721864767} is an apocalyptic number.

106265721864767 is a deficient number, since it is larger than the sum of its proper divisors (4838099418913).

106265721864767 is an equidigital number, since it uses as much as digits as its factorization.

106265721864767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077110113.

The product of its (nonzero) digits is 284497920, while the sum is 68.

The spelling of 106265721864767 in words is "one hundred six trillion, two hundred sixty-five billion, seven hundred twenty-one million, eight hundred sixty-four thousand, seven hundred sixty-seven".