105658361 has 2 divisors, whose sum is σ = 105658362. Its totient is φ = 105658360.

The previous prime is 105658307. The next prime is 105658369. The reversal of 105658361 is 163856501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80658361 + 25000000 = 8981^2 + 5000^2 .

It is an emirp because it is prime and its reverse (163856501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105658361 is a prime.

It is a super-2 number, since 2×105658361² = 22327378498412642, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105658369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52829180 + 52829181.

It is an arithmetic number, because the mean of its divisors is an integer number (52829181).

Almost surely, 2^105658361 is an apocalyptic number.

It is an amenable number.

105658361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105658361 is an equidigital number, since it uses as much as digits as its factorization.

105658361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 105658361 is about 10279.0252942582. The cubic root of 105658361 is about 472.7533588920.

The spelling of 105658361 in words is "one hundred five million, six hundred fifty-eight thousand, three hundred sixty-one".