105738586339 has 8 divisors (see below), whose sum is σ = 106306397280. Its totient is φ = 105170981376.

The previous prime is 105738586337. The next prime is 105738586367. The reversal of 105738586339 is 933685837501.

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 105738586339 - 2¹ = 105738586337 is a prime.

It is a super-2 number, since 2×105738586339² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105738586333) 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 7 ways as a sum of consecutive naturals, for example, 1039749 + ... + 1136905.

It is an arithmetic number, because the mean of its divisors is an integer number (13288299660).

Almost surely, 2^105738586339 is an apocalyptic number.

105738586339 is a deficient number, since it is larger than the sum of its proper divisors (567810941).

105738586339 is an equidigital number, since it uses as much as digits as its factorization.

105738586339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102989.

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 105738586339 in words is "one hundred five billion, seven hundred thirty-eight million, five hundred eighty-six thousand, three hundred thirty-nine".