105405224122104 has 32 divisors (see below), whose sum is σ = 264170200130640. Its totient is φ = 35047456064000.

The previous prime is 105405224122103. The next prime is 105405224122129. The reversal of 105405224122104 is 401221422504501.

It is a super-2 number, since 2×105405224122104² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105405224122103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5476155387 + ... + 5476174634.

Almost surely, 2^{105405224122104} is an apocalyptic number.

It is an amenable number.

105405224122104 is an abundant number, since it is smaller than the sum of its proper divisors (158764976008536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105405224122104 is a wasteful number, since it uses less digits than its factorization.

105405224122104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952330431 (or 10952330427 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 105405224122104 its reverse (401221422504501), we get a palindrome (506626646626605).

The spelling of 105405224122104 in words is "one hundred five trillion, four hundred five billion, two hundred twenty-four million, one hundred twenty-two thousand, one hundred four".