105888161 has 2 divisors, whose sum is σ = 105888162. Its totient is φ = 105888160.

The previous prime is 105888143. The next prime is 105888173. The reversal of 105888161 is 161888501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76457536 + 29430625 = 8744^2 + 5425^2 .

It is a cyclic number.

It is not a de Polignac number, because 105888161 - 2¹⁰ = 105887137 is a prime.

It is a super-2 number, since 2×105888161² = 22424605279923842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105884161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52944080 + 52944081.

It is an arithmetic number, because the mean of its divisors is an integer number (52944081).

Almost surely, 2^105888161 is an apocalyptic number.

It is an amenable number.

105888161 is a deficient number, since it is larger than the sum of its proper divisors (1).

105888161 is an equidigital number, since it uses as much as digits as its factorization.

105888161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 38.

The square root of 105888161 is about 10290.1973256104. The cubic root of 105888161 is about 473.0958465575.

The spelling of 105888161 in words is "one hundred five million, eight hundred eighty-eight thousand, one hundred sixty-one".