105345577 has 2 divisors, whose sum is σ = 105345578. Its totient is φ = 105345576.

The previous prime is 105345563. The next prime is 105345599. The reversal of 105345577 is 775543501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 52113961 = 7296^2 + 7219^2 .

It is a cyclic number.

It is not a de Polignac number, because 105345577 - 2¹⁹ = 104821289 is a prime.

It is a super-2 number, since 2×105345577² = 22195381186925858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105345677) 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, 52672788 + 52672789.

It is an arithmetic number, because the mean of its divisors is an integer number (52672789).

Almost surely, 2^105345577 is an apocalyptic number.

It is an amenable number.

105345577 is a deficient number, since it is larger than the sum of its proper divisors (1).

105345577 is an equidigital number, since it uses as much as digits as its factorization.

105345577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73500, while the sum is 37.

The square root of 105345577 is about 10263.7993452717. The cubic root of 105345577 is about 472.2863952424.

The spelling of 105345577 in words is "one hundred five million, three hundred forty-five thousand, five hundred seventy-seven".