106973821674667 has 2 divisors, whose sum is σ = 106973821674668. Its totient is φ = 106973821674666.

The previous prime is 106973821674617. The next prime is 106973821674757. The reversal of 106973821674667 is 766476128379601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106973821674667 - 2¹⁵ = 106973821641899 is a prime.

It is a super-2 number, since 2×106973821674667² (a number of 29 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 106973821674667.

It is not a weakly prime, because it can be changed into another prime (106973821674617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53486910837333 + 53486910837334.

It is an arithmetic number, because the mean of its divisors is an integer number (53486910837334).

Almost surely, 2^{106973821674667} is an apocalyptic number.

106973821674667 is a deficient number, since it is larger than the sum of its proper divisors (1).

106973821674667 is an equidigital number, since it uses as much as digits as its factorization.

106973821674667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768144384, while the sum is 73.

The spelling of 106973821674667 in words is "one hundred six trillion, nine hundred seventy-three billion, eight hundred twenty-one million, six hundred seventy-four thousand, six hundred sixty-seven".