106773440700667 has 16 divisors (see below), whose sum is σ = 121752884756160. Its totient is φ = 92760789768192.

The previous prime is 106773440700653. The next prime is 106773440700733. The reversal of 106773440700667 is 766007044377601.

It is not a de Polignac number, because 106773440700667 - 2¹⁹ = 106773440176379 is a prime.

It is a super-2 number, since 2×106773440700667² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106773440701667) 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 15 ways as a sum of consecutive naturals, for example, 8172058 + ... + 16743040.

It is an arithmetic number, because the mean of its divisors is an integer number (7609555297260).

Almost surely, 2^{106773440700667} is an apocalyptic number.

106773440700667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106773440700667 is a deficient number, since it is larger than the sum of its proper divisors (14979444055493).

106773440700667 is a wasteful number, since it uses less digits than its factorization.

106773440700667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8627382.

The product of its (nonzero) digits is 24893568, while the sum is 58.

The spelling of 106773440700667 in words is "one hundred six trillion, seven hundred seventy-three billion, four hundred forty million, seven hundred thousand, six hundred sixty-seven".