105344031 has 16 divisors (see below), whose sum is σ = 152657120. Its totient is φ = 64229760.

The previous prime is 105344027. The next prime is 105344039. The reversal of 105344031 is 130443501.

It is not a de Polignac number, because 105344031 - 2² = 105344027 is a prime.

It is a super-2 number, since 2×105344031² = 22194729734657922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105343989 and 105344007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8140 + ... + 16641.

It is an arithmetic number, because the mean of its divisors is an integer number (9541070).

Almost surely, 2^105344031 is an apocalyptic number.

105344031 is a deficient number, since it is larger than the sum of its proper divisors (47313089).

105344031 is a wasteful number, since it uses less digits than its factorization.

105344031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24906.

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

The square root of 105344031 is about 10263.7240317538. The cubic root of 105344031 is about 472.2840848833.

Adding to 105344031 its reverse (130443501), we get a palindrome (235787532).

The spelling of 105344031 in words is "one hundred five million, three hundred forty-four thousand, thirty-one".