105338070307 has 8 divisors (see below), whose sum is σ = 107938278000. Its totient is φ = 102739338240.

The previous prime is 105338070289. The next prime is 105338070361. The reversal of 105338070307 is 703070833501.

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 105338070307 - 2⁷ = 105338070179 is a prime.

It is a super-2 number, since 2×105338070307² (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 (105338070007) 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, 223678 + ... + 510595.

It is an arithmetic number, because the mean of its divisors is an integer number (13492284750).

Almost surely, 2^105338070307 is an apocalyptic number.

105338070307 is a deficient number, since it is larger than the sum of its proper divisors (2600207693).

105338070307 is an equidigital number, since it uses as much as digits as its factorization.

105338070307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737813.

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 105338070307 in words is "one hundred five billion, three hundred thirty-eight million, seventy thousand, three hundred seven".