105345135215441 has 8 divisors (see below), whose sum is σ = 114923487190944. Its totient is φ = 95767036823520.

The previous prime is 105345135215407. The next prime is 105345135215443. The reversal of 105345135215441 is 144512531543501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105345135215441 is a prime.

It is a super-3 number, since 3×105345135215441³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105345135215392 and 105345135215401.

It is not an unprimeable number, because it can be changed into a prime (105345135215443) 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, 62526755 + ... + 64189448.

It is an arithmetic number, because the mean of its divisors is an integer number (14365435898868).

Almost surely, 2^{105345135215441} is an apocalyptic number.

105345135215441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105345135215441 is a deficient number, since it is larger than the sum of its proper divisors (9578351975503).

105345135215441 is a wasteful number, since it uses less digits than its factorization.

105345135215441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126791791.

The product of its (nonzero) digits is 720000, while the sum is 44.

Adding to 105345135215441 its reverse (144512531543501), we get a palindrome (249857666758942).

The spelling of 105345135215441 in words is "one hundred five trillion, three hundred forty-five billion, one hundred thirty-five million, two hundred fifteen thousand, four hundred forty-one".