105839424938501 has 4 divisors (see below), whose sum is σ = 106887340037004. Its totient is φ = 104791509840000.

The previous prime is 105839424938497. The next prime is 105839424938563.

105839424938501 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44478428716225 + 61360996222276 = 6669215^2 + 7833326^2 .

It is a cyclic number.

It is not a de Polignac number, because 105839424938501 - 2² = 105839424938497 is a prime.

It is a super-3 number, since 3×105839424938501³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105839424931501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 523957549100 + ... + 523957549301.

It is an arithmetic number, because the mean of its divisors is an integer number (26721835009251).

Almost surely, 2^{105839424938501} is an apocalyptic number.

It is an amenable number.

105839424938501 is a deficient number, since it is larger than the sum of its proper divisors (1047915098503).

105839424938501 is a wasteful number, since it uses less digits than its factorization.

105839424938501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047915098502.

The product of its (nonzero) digits is 37324800, while the sum is 62.

The spelling of 105839424938501 in words is "one hundred five trillion, eight hundred thirty-nine billion, four hundred twenty-four million, nine hundred thirty-eight thousand, five hundred one".