105550400053 has 6 divisors (see below), whose sum is σ = 122783118486. Its totient is φ = 90471771432.

The previous prime is 105550400017. The next prime is 105550400083. The reversal of 105550400053 is 350004055501.

It can be written as a sum of positive squares in only one way, i.e., 102465930609 + 3084469444 = 320103^2 + 55538^2 .

It is not a de Polignac number, because 105550400053 - 2²¹ = 105548302901 is a prime.

It is a super-2 number, since 2×105550400053² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105550399994 and 105550400030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105550400083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1077044850 + ... + 1077044947.

It is an arithmetic number, because the mean of its divisors is an integer number (20463853081).

Almost surely, 2^105550400053 is an apocalyptic number.

It is an amenable number.

105550400053 is a deficient number, since it is larger than the sum of its proper divisors (17232718433).

105550400053 is an equidigital number, since it uses as much as digits as its factorization.

105550400053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154089811 (or 2154089804 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

Adding to 105550400053 its reverse (350004055501), we get a palindrome (455554455554).

The spelling of 105550400053 in words is "one hundred five billion, five hundred fifty million, four hundred thousand, fifty-three".