10005105340241 has 8 divisors (see below), whose sum is σ = 10915258032000. Its totient is φ = 9095052258640.

The previous prime is 10005105340171. The next prime is 10005105340247. The reversal of 10005105340241 is 14204350150001.

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 10005105340241 - 2¹⁸ = 10005105078097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10005105340241.

It is not an unprimeable number, because it can be changed into a prime (10005105340247) 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, 24692441 + ... + 25094358.

It is an arithmetic number, because the mean of its divisors is an integer number (1364407254000).

Almost surely, 2^{10005105340241} is an apocalyptic number.

10005105340241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10005105340241 is a deficient number, since it is larger than the sum of its proper divisors (910152691759).

10005105340241 is a wasteful number, since it uses less digits than its factorization.

10005105340241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49805079.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 10005105340241 its reverse (14204350150001), we get a palindrome (24209455490242).

The spelling of 10005105340241 in words is "ten trillion, five billion, one hundred five million, three hundred forty thousand, two hundred forty-one".