105408577 has 2 divisors, whose sum is σ = 105408578. Its totient is φ = 105408576.

The previous prime is 105408571. The next prime is 105408601. The reversal of 105408577 is 775804501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99820081 + 5588496 = 9991^2 + 2364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105408577 is a prime.

It is a super-2 number, since 2×105408577² = 22221936210329858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105408571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52704288 + 52704289.

It is an arithmetic number, because the mean of its divisors is an integer number (52704289).

Almost surely, 2^105408577 is an apocalyptic number.

It is an amenable number.

105408577 is a deficient number, since it is larger than the sum of its proper divisors (1).

105408577 is an equidigital number, since it uses as much as digits as its factorization.

105408577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 105408577 is about 10266.8679255165. The cubic root of 105408577 is about 472.3805239010.

The spelling of 105408577 in words is "one hundred five million, four hundred eight thousand, five hundred seventy-seven".