1105137041 has 2 divisors, whose sum is σ = 1105137042. Its totient is φ = 1105137040.

The previous prime is 1105136987. The next prime is 1105137043. The reversal of 1105137041 is 1407315011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1004636416 + 100500625 = 31696^2 + 10025^2 .

It is a cyclic number.

It is not a de Polignac number, because 1105137041 - 2¹⁴ = 1105120657 is a prime.

It is a Sophie Germain prime.

Together with 1105137043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1105136998 and 1105137016.

It is not a weakly prime, because it can be changed into another prime (1105137043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 552568520 + 552568521.

It is an arithmetic number, because the mean of its divisors is an integer number (552568521).

Almost surely, 2^1105137041 is an apocalyptic number.

It is an amenable number.

1105137041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1105137041 is an equidigital number, since it uses as much as digits as its factorization.

1105137041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 1105137041 is about 33243.6015046505. The cubic root of 1105137041 is about 1033.8845493253.

The spelling of 1105137041 in words is "one billion, one hundred five million, one hundred thirty-seven thousand, forty-one".