105541584209 has 2 divisors, whose sum is σ = 105541584210. Its totient is φ = 105541584208.

The previous prime is 105541584151. The next prime is 105541584227. The reversal of 105541584209 is 902485145501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91315774225 + 14225809984 = 302185^2 + 119272^2 .

It is a cyclic number.

It is not a de Polignac number, because 105541584209 - 2¹² = 105541580113 is a prime.

It is a super-2 number, since 2×105541584209² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105541584209.

It is not a weakly prime, because it can be changed into another prime (105541584229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770792104 + 52770792105.

It is an arithmetic number, because the mean of its divisors is an integer number (52770792105).

Almost surely, 2^105541584209 is an apocalyptic number.

It is an amenable number.

105541584209 is a deficient number, since it is larger than the sum of its proper divisors (1).

105541584209 is an equidigital number, since it uses as much as digits as its factorization.

105541584209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288000, while the sum is 44.

The spelling of 105541584209 in words is "one hundred five billion, five hundred forty-one million, five hundred eighty-four thousand, two hundred nine".