105535246343 has 8 divisors (see below), whose sum is σ = 105932557248. Its totient is φ = 105138319104.

The previous prime is 105535246309. The next prime is 105535246381. The reversal of 105535246343 is 343642535501.

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 105535246343 - 2¹² = 105535242247 is a prime.

It is a super-2 number, since 2×105535246343² (a number of 23 digits) contains 22 as substring.

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 105535246343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535246393) 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, 461330 + ... + 651072.

It is an arithmetic number, because the mean of its divisors is an integer number (13241569656).

Almost surely, 2^105535246343 is an apocalyptic number.

105535246343 is a deficient number, since it is larger than the sum of its proper divisors (397310905).

105535246343 is a wasteful number, since it uses less digits than its factorization.

105535246343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191833.

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 105535246343 in words is "one hundred five billion, five hundred thirty-five million, two hundred forty-six thousand, three hundred forty-three".