105581173 has 2 divisors, whose sum is σ = 105581174. Its totient is φ = 105581172.

The previous prime is 105581143. The next prime is 105581197. The reversal of 105581173 is 371185501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105329169 + 252004 = 10263^2 + 502^2 .

It is a cyclic number.

It is not a de Polignac number, because 105581173 - 2⁹ = 105580661 is a prime.

It is a super-2 number, since 2×105581173² = 22294768184111858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105581123) 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, 52790586 + 52790587.

It is an arithmetic number, because the mean of its divisors is an integer number (52790587).

Almost surely, 2^105581173 is an apocalyptic number.

It is an amenable number.

105581173 is a deficient number, since it is larger than the sum of its proper divisors (1).

105581173 is an equidigital number, since it uses as much as digits as its factorization.

105581173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 31.

The square root of 105581173 is about 10275.2699721224. The cubic root of 105581173 is about 472.6382085919.

It can be divided in two parts, 1055 and 81173, that added together give a palindrome (82228).

The spelling of 105581173 in words is "one hundred five million, five hundred eighty-one thousand, one hundred seventy-three".