105655141 has 2 divisors, whose sum is σ = 105655142. Its totient is φ = 105655140.

The previous prime is 105655127. The next prime is 105655189. The reversal of 105655141 is 141556501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84916225 + 20738916 = 9215^2 + 4554^2 .

It is a cyclic number.

It is not a de Polignac number, because 105655141 - 2⁹ = 105654629 is a prime.

It is a super-2 number, since 2×105655141² = 22326017639459762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105655541) 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, 52827570 + 52827571.

It is an arithmetic number, because the mean of its divisors is an integer number (52827571).

Almost surely, 2^105655141 is an apocalyptic number.

It is an amenable number.

105655141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105655141 is an equidigital number, since it uses as much as digits as its factorization.

105655141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 105655141 is about 10278.8686634279. The cubic root of 105655141 is about 472.7485563653.

The spelling of 105655141 in words is "one hundred five million, six hundred fifty-five thousand, one hundred forty-one".