10005105350335 has 16 divisors (see below), whose sum is σ = 12078451674144. Its totient is φ = 7955936980992.

The previous prime is 10005105350329. The next prime is 10005105350377. The reversal of 10005105350335 is 53305350150001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10005105350335 - 2³¹ = 10002957866687 is a prime.

It is a super-2 number, since 2×10005105350335² (a number of 27 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 = 10005105350297 and 10005105350306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194097 + ... + 5496586.

It is an arithmetic number, because the mean of its divisors is an integer number (754903229634).

Almost surely, 2^{10005105350335} is an apocalyptic number.

10005105350335 is a deficient number, since it is larger than the sum of its proper divisors (2073346323809).

10005105350335 is a wasteful number, since it uses less digits than its factorization.

10005105350335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692074.

The product of its (nonzero) digits is 16875, while the sum is 31.

The spelling of 10005105350335 in words is "ten trillion, five billion, one hundred five million, three hundred fifty thousand, three hundred thirty-five".