105344013 has 8 divisors (see below), whose sum is σ = 140607808. Its totient is φ = 70154784.

The previous prime is 105344003. The next prime is 105344021. The reversal of 105344013 is 310443501.

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

It is not a de Polignac number, because 105344013 - 2⁹ = 105343501 is a prime.

It is a super-2 number, since 2×105344013² = 22194722149888338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344003) 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, 15256 + ... + 21057.

It is an arithmetic number, because the mean of its divisors is an integer number (17575976).

Almost surely, 2^105344013 is an apocalyptic number.

It is an amenable number.

105344013 is a deficient number, since it is larger than the sum of its proper divisors (35263795).

105344013 is an equidigital number, since it uses as much as digits as its factorization.

105344013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37283.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105344013 is about 10263.7231548790. The cubic root of 105344013 is about 472.2840579837.

Adding to 105344013 its reverse (310443501), we get a palindrome (415787514).

The spelling of 105344013 in words is "one hundred five million, three hundred forty-four thousand, thirteen".