105753041513 has 6 divisors (see below), whose sum is σ = 123018844266. Its totient is φ = 90645464112.

The previous prime is 105753041491. The next prime is 105753041549. The reversal of 105753041513 is 315140357501.

It can be written as a sum of positive squares in only one way, i.e., 83919137344 + 21833904169 = 289688^2 + 147763^2 .

It is not a de Polignac number, because 105753041513 - 2⁸ = 105753041257 is a prime.

It is a super-2 number, since 2×105753041513² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105753041413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1079112620 + ... + 1079112717.

It is an arithmetic number, because the mean of its divisors is an integer number (20503140711).

Almost surely, 2^105753041513 is an apocalyptic number.

It is an amenable number.

105753041513 is a deficient number, since it is larger than the sum of its proper divisors (17265802753).

105753041513 is an equidigital number, since it uses as much as digits as its factorization.

105753041513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158225351 (or 2158225344 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The spelling of 105753041513 in words is "one hundred five billion, seven hundred fifty-three million, forty-one thousand, five hundred thirteen".