105581249 has 2 divisors, whose sum is σ = 105581250. Its totient is φ = 105581248.

The previous prime is 105581219. The next prime is 105581261. The reversal of 105581249 is 942185501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103530625 + 2050624 = 10175^2 + 1432^2 .

It is a cyclic number.

It is not a de Polignac number, because 105581249 - 2¹⁶ = 105515713 is a prime.

It is a super-2 number, since 2×105581249² = 22294800280800002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105581219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52790624 + 52790625.

It is an arithmetic number, because the mean of its divisors is an integer number (52790625).

Almost surely, 2^105581249 is an apocalyptic number.

It is an amenable number.

105581249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105581249 is an equidigital number, since it uses as much as digits as its factorization.

105581249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 105581249 is about 10275.2736703214. The cubic root of 105581249 is about 472.6383219975.

The spelling of 105581249 in words is "one hundred five million, five hundred eighty-one thousand, two hundred forty-nine".