105535166449 has 2 divisors, whose sum is σ = 105535166450. Its totient is φ = 105535166448.

The previous prime is 105535166393. The next prime is 105535166579. The reversal of 105535166449 is 944661535501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94953341025 + 10581825424 = 308145^2 + 102868^2 .

It is a cyclic number.

It is not a de Polignac number, because 105535166449 - 2²¹ = 105533069297 is a prime.

It is a super-2 number, since 2×105535166449² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105535166249) 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, 52767583224 + 52767583225.

It is an arithmetic number, because the mean of its divisors is an integer number (52767583225).

Almost surely, 2^105535166449 is an apocalyptic number.

It is an amenable number.

105535166449 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535166449 is an equidigital number, since it uses as much as digits as its factorization.

105535166449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 105535166449 in words is "one hundred five billion, five hundred thirty-five million, one hundred sixty-six thousand, four hundred forty-nine".