105552243234321 has 32 divisors (see below), whose sum is σ = 160106908375680. Its totient is φ = 61317539136000.

The previous prime is 105552243234301. The next prime is 105552243234401. The reversal of 105552243234321 is 123432342255501.

It is not a de Polignac number, because 105552243234321 - 2⁹ = 105552243233809 is a prime.

It is a super-2 number, since 2×105552243234321² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105552243234301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253253830 + ... + 253670271.

It is an arithmetic number, because the mean of its divisors is an integer number (5003340886740).

Almost surely, 2^{105552243234321} is an apocalyptic number.

It is an amenable number.

105552243234321 is a deficient number, since it is larger than the sum of its proper divisors (54554665141359).

105552243234321 is a wasteful number, since it uses less digits than its factorization.

105552243234321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506924417.

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 105552243234321 its reverse (123432342255501), we get a palindrome (228984585489822).

The spelling of 105552243234321 in words is "one hundred five trillion, five hundred fifty-two billion, two hundred forty-three million, two hundred thirty-four thousand, three hundred twenty-one".