105680557 has 2 divisors, whose sum is σ = 105680558. Its totient is φ = 105680556.

The previous prime is 105680539. The next prime is 105680633. The reversal of 105680557 is 755086501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98029801 + 7650756 = 9901^2 + 2766^2 .

It is a cyclic number.

It is not a de Polignac number, because 105680557 - 2⁷ = 105680429 is a prime.

It is a super-2 number, since 2×105680557² = 22336760255660498, 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 (105681557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52840278 + 52840279.

It is an arithmetic number, because the mean of its divisors is an integer number (52840279).

Almost surely, 2^105680557 is an apocalyptic number.

It is an amenable number.

105680557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105680557 is an equidigital number, since it uses as much as digits as its factorization.

105680557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42000, while the sum is 37.

The square root of 105680557 is about 10280.1049119160. The cubic root of 105680557 is about 472.7864608594.

The spelling of 105680557 in words is "one hundred five million, six hundred eighty thousand, five hundred fifty-seven".