105073122667 has 2 divisors, whose sum is σ = 105073122668. Its totient is φ = 105073122666.

The previous prime is 105073122629. The next prime is 105073122757. The reversal of 105073122667 is 766221370501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105073122667 is a prime.

It is a super-2 number, since 2×105073122667² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105073122607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52536561333 + 52536561334.

It is an arithmetic number, because the mean of its divisors is an integer number (52536561334).

Almost surely, 2^105073122667 is an apocalyptic number.

105073122667 is a deficient number, since it is larger than the sum of its proper divisors (1).

105073122667 is an equidigital number, since it uses as much as digits as its factorization.

105073122667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 105073122667 in words is "one hundred five billion, seventy-three million, one hundred twenty-two thousand, six hundred sixty-seven".