109838433215257 has 2 divisors, whose sum is σ = 109838433215258. Its totient is φ = 109838433215256.

The previous prime is 109838433215227. The next prime is 109838433215263. The reversal of 109838433215257 is 752512334838901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97097788300041 + 12740644915216 = 9853821^2 + 3569404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-109838433215257 is a prime.

It is a super-2 number, since 2×109838433215257² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109838433215195 and 109838433215204.

It is not a weakly prime, because it can be changed into another prime (109838433215227) 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 as a sum of consecutive naturals, namely, 54919216607628 + 54919216607629.

It is an arithmetic number, because the mean of its divisors is an integer number (54919216607629).

Almost surely, 2^{109838433215257} is an apocalyptic number.

It is an amenable number.

109838433215257 is a deficient number, since it is larger than the sum of its proper divisors (1).

109838433215257 is an equidigital number, since it uses as much as digits as its factorization.

109838433215257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 109838433215257 in words is "one hundred nine trillion, eight hundred thirty-eight billion, four hundred thirty-three million, two hundred fifteen thousand, two hundred fifty-seven".