105728657 has 2 divisors, whose sum is σ = 105728658. Its totient is φ = 105728656.

The previous prime is 105728629. The next prime is 105728669. The reversal of 105728657 is 756827501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58997761 + 46730896 = 7681^2 + 6836^2 .

It is a cyclic number.

It is not a de Polignac number, because 105728657 - 2¹⁶ = 105663121 is a prime.

It is a super-2 number, since 2×105728657² = 22357097822047298, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105728687) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52864328 + 52864329.

It is an arithmetic number, because the mean of its divisors is an integer number (52864329).

Almost surely, 2^105728657 is an apocalyptic number.

It is an amenable number.

105728657 is a deficient number, since it is larger than the sum of its proper divisors (1).

105728657 is an equidigital number, since it uses as much as digits as its factorization.

105728657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 117600, while the sum is 41.

The square root of 105728657 is about 10282.4441160650. Note that the first 3 decimals coincide. The cubic root of 105728657 is about 472.8581788118.

The spelling of 105728657 in words is "one hundred five million, seven hundred twenty-eight thousand, six hundred fifty-seven".