105241301749 has 2 divisors, whose sum is σ = 105241301750. Its totient is φ = 105241301748.

The previous prime is 105241301677. The next prime is 105241301761. The reversal of 105241301749 is 947103142501.

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., 104888538225 + 352763524 = 323865^2 + 18782^2 .

It is a cyclic number.

It is not a de Polignac number, because 105241301749 - 2¹⁹ = 105240777461 is a prime.

It is a super-2 number, since 2×105241301749² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105241301849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52620650874 + 52620650875.

It is an arithmetic number, because the mean of its divisors is an integer number (52620650875).

Almost surely, 2^105241301749 is an apocalyptic number.

It is an amenable number.

105241301749 is a deficient number, since it is larger than the sum of its proper divisors (1).

105241301749 is an equidigital number, since it uses as much as digits as its factorization.

105241301749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 105241301749 in words is "one hundred five billion, two hundred forty-one million, three hundred one thousand, seven hundred forty-nine".