105825761 has 2 divisors, whose sum is σ = 105825762. Its totient is φ = 105825760.

The previous prime is 105825757. The next prime is 105825767. The reversal of 105825761 is 167528501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103632400 + 2193361 = 10180^2 + 1481^2 .

It is a cyclic number.

It is not a de Polignac number, because 105825761 - 2² = 105825757 is a prime.

It is a super-2 number, since 2×105825761² = 22398183382458242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105825767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52912880 + 52912881.

It is an arithmetic number, because the mean of its divisors is an integer number (52912881).

Almost surely, 2^105825761 is an apocalyptic number.

It is an amenable number.

105825761 is a deficient number, since it is larger than the sum of its proper divisors (1).

105825761 is an equidigital number, since it uses as much as digits as its factorization.

105825761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 105825761 is about 10287.1648669592. The cubic root of 105825761 is about 473.0028963435.

The spelling of 105825761 in words is "one hundred five million, eight hundred twenty-five thousand, seven hundred sixty-one".