105242177 has 2 divisors, whose sum is σ = 105242178. Its totient is φ = 105242176.

The previous prime is 105242149. The next prime is 105242183. The reversal of 105242177 is 771242501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89946256 + 15295921 = 9484^2 + 3911^2 .

It is a cyclic number.

It is not a de Polignac number, because 105242177 - 2¹⁰ = 105241153 is a prime.

It is a super-2 number, since 2×105242177² = 22151831639398658, which contains 22 as substring.

It is equal to p_6045860 and since 105242177 and 6045860 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105242147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52621088 + 52621089.

It is an arithmetic number, because the mean of its divisors is an integer number (52621089).

Almost surely, 2^105242177 is an apocalyptic number.

It is an amenable number.

105242177 is a deficient number, since it is larger than the sum of its proper divisors (1).

105242177 is an equidigital number, since it uses as much as digits as its factorization.

105242177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 105242177 is about 10258.7609875657. The cubic root of 105242177 is about 472.1318233376.

Adding to 105242177 its reverse (771242501), we get a palindrome (876484678).

The spelling of 105242177 in words is "one hundred five million, two hundred forty-two thousand, one hundred seventy-seven".