105233813713 has 8 divisors (see below), whose sum is σ = 124414361280. Its totient is φ = 87090052560.

The previous prime is 105233813693. The next prime is 105233813717. The reversal of 105233813713 is 317318332501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-105233813713 is a prime.

It is a super-2 number, since 2×105233813713² (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 (105233813717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259196383 + ... + 259196788.

It is an arithmetic number, because the mean of its divisors is an integer number (15551795160).

Almost surely, 2^105233813713 is an apocalyptic number.

It is an amenable number.

105233813713 is a deficient number, since it is larger than the sum of its proper divisors (19180547567).

105233813713 is an equidigital number, since it uses as much as digits as its factorization.

105233813713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518393207.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 105233813713 in words is "one hundred five billion, two hundred thirty-three million, eight hundred thirteen thousand, seven hundred thirteen".