105577057 has 2 divisors, whose sum is σ = 105577058. Its totient is φ = 105577056.

The previous prime is 105577013. The next prime is 105577063. The reversal of 105577057 is 750775501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102333456 + 3243601 = 10116^2 + 1801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105577057 is a prime.

It is a super-2 number, since 2×105577057² = 22293029929562498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105577757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52788528 + 52788529.

It is an arithmetic number, because the mean of its divisors is an integer number (52788529).

Almost surely, 2^105577057 is an apocalyptic number.

It is an amenable number.

105577057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105577057 is an equidigital number, since it uses as much as digits as its factorization.

105577057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42875, while the sum is 37.

The square root of 105577057 is about 10275.0696834620. The cubic root of 105577057 is about 472.6320667009.

The spelling of 105577057 in words is "one hundred five million, five hundred seventy-seven thousand, fifty-seven".