105131030400055 has 32 divisors (see below), whose sum is σ = 139887022514688. Its totient is φ = 75202935580800.

The previous prime is 105131030400043. The next prime is 105131030400103. The reversal of 105131030400055 is 550004030131501.

It is not a de Polignac number, because 105131030400055 - 2¹¹ = 105131030398007 is a prime.

It is a super-2 number, since 2×105131030400055² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105131030399996 and 105131030400032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100475092 + ... + 101516038.

It is an arithmetic number, because the mean of its divisors is an integer number (4371469453584).

Almost surely, 2^{105131030400055} is an apocalyptic number.

105131030400055 is a deficient number, since it is larger than the sum of its proper divisors (34755992114633).

105131030400055 is a wasteful number, since it uses less digits than its factorization.

105131030400055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071127.

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 105131030400055 its reverse (550004030131501), we get a palindrome (655135060531556).

The spelling of 105131030400055 in words is "one hundred five trillion, one hundred thirty-one billion, thirty million, four hundred thousand, fifty-five".