105835480141 has 8 divisors (see below), whose sum is σ = 106890092568. Its totient is φ = 104781000000.

The previous prime is 105835480139. The next prime is 105835480181. The reversal of 105835480141 is 141084538501.

It can be written as a sum of positive squares in 4 ways, for example, as 6629379241 + 99206100900 = 81421^2 + 314970^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105835480141 - 2¹ = 105835480139 is a prime.

It is a super-2 number, since 2×105835480141² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105835480094 and 105835480103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105835480181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2656831 + ... + 2696371.

It is an arithmetic number, because the mean of its divisors is an integer number (13361261571).

Almost surely, 2^105835480141 is an apocalyptic number.

It is an amenable number.

105835480141 is a deficient number, since it is larger than the sum of its proper divisors (1054612427).

105835480141 is a wasteful number, since it uses less digits than its factorization.

105835480141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66143.

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 105835480141 in words is "one hundred five billion, eight hundred thirty-five million, four hundred eighty thousand, one hundred forty-one".