105032315141 has 16 divisors (see below), whose sum is σ = 114192447600. Its totient is φ = 96602336064.

The previous prime is 105032315117. The next prime is 105032315149. The reversal of 105032315141 is 141513230501.

It can be written as a sum of positive squares in 8 ways, for example, as 67143692641 + 37888622500 = 259121^2 + 194650^2 .

It is not a de Polignac number, because 105032315141 - 2¹⁰ = 105032314117 is a prime.

It is a super-2 number, since 2×105032315141² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105032315141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105032315149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522275 + ... + 694863.

It is an arithmetic number, because the mean of its divisors is an integer number (7137027975).

Almost surely, 2^105032315141 is an apocalyptic number.

It is an amenable number.

105032315141 is a deficient number, since it is larger than the sum of its proper divisors (9160132459).

105032315141 is an equidigital number, since it uses as much as digits as its factorization.

105032315141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172905 (or 172879 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 105032315141 its reverse (141513230501), we get a palindrome (246545545642).

The spelling of 105032315141 in words is "one hundred five billion, thirty-two million, three hundred fifteen thousand, one hundred forty-one".