10005105350341 has 8 divisors (see below), whose sum is σ = 10044344456280. Its totient is φ = 9965868638208.

The previous prime is 10005105350329. The next prime is 10005105350377. The reversal of 10005105350341 is 14305350150001.

It can be written as a sum of positive squares in 4 ways, for example, as 648756146116 + 9356349204225 = 805454^2 + 3058815^2 .

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 10005105350341 - 2⁵ = 10005105350309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005105350041) 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, 8019945 + ... + 9183121.

It is an arithmetic number, because the mean of its divisors is an integer number (1255543057035).

Almost surely, 2^{10005105350341} is an apocalyptic number.

It is an amenable number.

10005105350341 is a deficient number, since it is larger than the sum of its proper divisors (39239105939).

10005105350341 is a wasteful number, since it uses less digits than its factorization.

10005105350341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196903.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 10005105350341 in words is "ten trillion, five billion, one hundred five million, three hundred fifty thousand, three hundred forty-one".