105761113 has 2 divisors, whose sum is σ = 105761114. Its totient is φ = 105761112.

The previous prime is 105761111. The next prime is 105761141. The reversal of 105761113 is 311167501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60964864 + 44796249 = 7808^2 + 6693^2 .

It is a cyclic number.

It is not a de Polignac number, because 105761113 - 2¹ = 105761111 is a prime.

It is a super-2 number, since 2×105761113² = 22370826045997538, which contains 22 as substring.

Together with 105761111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105761111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52880556 + 52880557.

It is an arithmetic number, because the mean of its divisors is an integer number (52880557).

Almost surely, 2^105761113 is an apocalyptic number.

It is an amenable number.

105761113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105761113 is an equidigital number, since it uses as much as digits as its factorization.

105761113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 105761113 is about 10284.0222189569. The cubic root of 105761113 is about 472.9065589936.

The spelling of 105761113 in words is "one hundred five million, seven hundred sixty-one thousand, one hundred thirteen".