105511312122242 has 16 divisors (see below), whose sum is σ = 171783408233472. Its totient is φ = 48314083562640.

The previous prime is 105511312122193. The next prime is 105511312122253. The reversal of 105511312122242 is 242221213115501.

It is a happy number.

It is a super-2 number, since 2×105511312122242² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105511312122199 and 105511312122208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15976876184 + ... + 15976882787.

It is an arithmetic number, because the mean of its divisors is an integer number (10736463014592).

Almost surely, 2^{105511312122242} is an apocalyptic number.

105511312122242 is a deficient number, since it is larger than the sum of its proper divisors (66272096111230).

105511312122242 is a wasteful number, since it uses less digits than its factorization.

105511312122242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31953759113.

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 105511312122242 its reverse (242221213115501), we get a palindrome (347732525237743).

The spelling of 105511312122242 in words is "one hundred five trillion, five hundred eleven billion, three hundred twelve million, one hundred twenty-two thousand, two hundred forty-two".