106806458717353 has 2 divisors, whose sum is σ = 106806458717354. Its totient is φ = 106806458717352.

The previous prime is 106806458717297. The next prime is 106806458717381. The reversal of 106806458717353 is 353717854608601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105125813535744 + 1680645181609 = 10253088^2 + 1296397^2 .

It is a cyclic number.

It is not a de Polignac number, because 106806458717353 - 2¹⁷ = 106806458586281 is a prime.

It is a super-2 number, since 2×106806458717353² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106801458717353) 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 as a sum of consecutive naturals, namely, 53403229358676 + 53403229358677.

It is an arithmetic number, because the mean of its divisors is an integer number (53403229358677).

Almost surely, 2^{106806458717353} is an apocalyptic number.

It is an amenable number.

106806458717353 is a deficient number, since it is larger than the sum of its proper divisors (1).

106806458717353 is an equidigital number, since it uses as much as digits as its factorization.

106806458717353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 101606400, while the sum is 64.

The spelling of 106806458717353 in words is "one hundred six trillion, eight hundred six billion, four hundred fifty-eight million, seven hundred seventeen thousand, three hundred fifty-three".