105807077 has 2 divisors, whose sum is σ = 105807078. Its totient is φ = 105807076.

The previous prime is 105807071. The next prime is 105807089. The reversal of 105807077 is 770708501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63218401 + 42588676 = 7951^2 + 6526^2 .

It is a cyclic number.

It is not a de Polignac number, because 105807077 - 2¹⁰ = 105806053 is a prime.

It is a super-2 number, since 2×105807077² = 22390275086567858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105807071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52903538 + 52903539.

It is an arithmetic number, because the mean of its divisors is an integer number (52903539).

Almost surely, 2^105807077 is an apocalyptic number.

It is an amenable number.

105807077 is a deficient number, since it is larger than the sum of its proper divisors (1).

105807077 is an equidigital number, since it uses as much as digits as its factorization.

105807077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13720, while the sum is 35.

The square root of 105807077 is about 10286.2567049437. The cubic root of 105807077 is about 472.9750577965.

The spelling of 105807077 in words is "one hundred five million, eight hundred seven thousand, seventy-seven".