105524304031 has 16 divisors (see below), whose sum is σ = 107959156704. Its totient is φ = 103118413824.

The previous prime is 105524304007. The next prime is 105524304049. The reversal of 105524304031 is 130403425501.

It is not a de Polignac number, because 105524304031 - 2¹³ = 105524295839 is a prime.

It is a super-2 number, since 2×105524304031² (a number of 23 digits) 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 (105524304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21389041 + ... + 21393973.

It is an arithmetic number, because the mean of its divisors is an integer number (6747447294).

Almost surely, 2^105524304031 is an apocalyptic number.

105524304031 is a deficient number, since it is larger than the sum of its proper divisors (2434852673).

105524304031 is an equidigital number, since it uses as much as digits as its factorization.

105524304031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 105524304031 its reverse (130403425501), we get a palindrome (235927729532).

The spelling of 105524304031 in words is "one hundred five billion, five hundred twenty-four million, three hundred four thousand, thirty-one".