105346043635 has 16 divisors (see below), whose sum is σ = 145905020352. Its totient is φ = 71522064000.

The previous prime is 105346043611. The next prime is 105346043657. The reversal of 105346043635 is 536340643501.

It is not a de Polignac number, because 105346043635 - 2²⁹ = 104809172723 is a prime.

It is a super-2 number, since 2×105346043635² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14896896 + ... + 14903965.

It is an arithmetic number, because the mean of its divisors is an integer number (9119063772).

Almost surely, 2^105346043635 is an apocalyptic number.

105346043635 is a deficient number, since it is larger than the sum of its proper divisors (40558976717).

105346043635 is a wasteful number, since it uses less digits than its factorization.

105346043635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29800974.

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 105346043635 in words is "one hundred five billion, three hundred forty-six million, forty-three thousand, six hundred thirty-five".