105355661513 has 2 divisors, whose sum is σ = 105355661514. Its totient is φ = 105355661512.

The previous prime is 105355661497. The next prime is 105355661639. The reversal of 105355661513 is 315166553501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102222796729 + 3132864784 = 319723^2 + 55972^2 .

It is a cyclic number.

It is not a de Polignac number, because 105355661513 - 2⁴ = 105355661497 is a prime.

It is a super-2 number, since 2×105355661513² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105355661113) 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, 52677830756 + 52677830757.

It is an arithmetic number, because the mean of its divisors is an integer number (52677830757).

Almost surely, 2^105355661513 is an apocalyptic number.

It is an amenable number.

105355661513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105355661513 is an equidigital number, since it uses as much as digits as its factorization.

105355661513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 202500, while the sum is 41.

The spelling of 105355661513 in words is "one hundred five billion, three hundred fifty-five million, six hundred sixty-one thousand, five hundred thirteen".