105436444634501 has 16 divisors (see below), whose sum is σ = 109920398063616. Its totient is φ = 101020260000000.

The previous prime is 105436444634497. The next prime is 105436444634597.

105436444634501 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 105436444634501 - 2² = 105436444634497 is a prime.

It is a super-2 number, since 2×105436444634501² (a number of 29 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 105436444634501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105436444634201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66599876 + ... + 68164626.

It is an arithmetic number, because the mean of its divisors is an integer number (6870024878976).

Almost surely, 2^{105436444634501} is an apocalyptic number.

It is an amenable number.

105436444634501 is a deficient number, since it is larger than the sum of its proper divisors (4483953429115).

105436444634501 is a wasteful number, since it uses less digits than its factorization.

105436444634501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586404.

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 105436444634501 in words is "one hundred five trillion, four hundred thirty-six billion, four hundred forty-four million, six hundred thirty-four thousand, five hundred one".