105527161 has 2 divisors, whose sum is σ = 105527162. Its totient is φ = 105527160.

The previous prime is 105527141. The next prime is 105527171. The reversal of 105527161 is 161725501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102637161 + 2890000 = 10131^2 + 1700^2 .

It is a cyclic number.

It is not a de Polignac number, because 105527161 - 2²⁵ = 71972729 is a prime.

It is a super-2 number, since 2×105527161² = 22271963417439842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105527101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52763580 + 52763581.

It is an arithmetic number, because the mean of its divisors is an integer number (52763581).

Almost surely, 2^105527161 is an apocalyptic number.

It is an amenable number.

105527161 is a deficient number, since it is larger than the sum of its proper divisors (1).

105527161 is an equidigital number, since it uses as much as digits as its factorization.

105527161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 105527161 is about 10272.6413837922. The cubic root of 105527161 is about 472.5575992415.

It can be divided in two parts, 1055271 and 61, that multiplied together give a triangular number (64371531 = T₁₁₃₄₆).

The spelling of 105527161 in words is "one hundred five million, five hundred twenty-seven thousand, one hundred sixty-one".