105557117 has 2 divisors, whose sum is σ = 105557118. Its totient is φ = 105557116.

The previous prime is 105557087. The next prime is 105557119. The reversal of 105557117 is 711755501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89000356 + 16556761 = 9434^2 + 4069^2 .

It is an emirp because it is prime and its reverse (711755501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105557117 - 2¹⁰ = 105556093 is a prime.

It is a super-2 number, since 2×105557117² = 22284609898703378, which contains 22 as substring.

Together with 105557119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105557119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52778558 + 52778559.

It is an arithmetic number, because the mean of its divisors is an integer number (52778559).

Almost surely, 2^105557117 is an apocalyptic number.

It is an amenable number.

105557117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105557117 is an equidigital number, since it uses as much as digits as its factorization.

105557117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6125, while the sum is 32.

The square root of 105557117 is about 10274.0993279216. The cubic root of 105557117 is about 472.6023099935.

The spelling of 105557117 in words is "one hundred five million, five hundred fifty-seven thousand, one hundred seventeen".