105335930981 has 2 divisors, whose sum is σ = 105335930982. Its totient is φ = 105335930980.

The previous prime is 105335930969. The next prime is 105335930983. The reversal of 105335930981 is 189039533501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94282773025 + 11053157956 = 307055^2 + 105134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105335930981 is a prime.

It is a super-2 number, since 2×105335930981² (a number of 23 digits) contains 22 as substring.

Together with 105335930983, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105335930983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52667965490 + 52667965491.

It is an arithmetic number, because the mean of its divisors is an integer number (52667965491).

Almost surely, 2^105335930981 is an apocalyptic number.

It is an amenable number.

105335930981 is a deficient number, since it is larger than the sum of its proper divisors (1).

105335930981 is an equidigital number, since it uses as much as digits as its factorization.

105335930981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 437400, while the sum is 47.

The spelling of 105335930981 in words is "one hundred five billion, three hundred thirty-five million, nine hundred thirty thousand, nine hundred eighty-one".