105605077 has 2 divisors, whose sum is σ = 105605078. Its totient is φ = 105605076.

The previous prime is 105605069. The next prime is 105605089. The reversal of 105605077 is 770506501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75585636 + 30019441 = 8694^2 + 5479^2 .

It is an emirp because it is prime and its reverse (770506501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105605077 - 2³ = 105605069 is a prime.

It is a super-2 number, since 2×105605077² = 22304864576351858, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105605057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52802538 + 52802539.

It is an arithmetic number, because the mean of its divisors is an integer number (52802539).

Almost surely, 2^105605077 is an apocalyptic number.

It is an amenable number.

105605077 is a deficient number, since it is larger than the sum of its proper divisors (1).

105605077 is an equidigital number, since it uses as much as digits as its factorization.

105605077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 105605077 is about 10276.4330874093. The cubic root of 105605077 is about 472.6738749608.

The spelling of 105605077 in words is "one hundred five million, six hundred five thousand, seventy-seven".