105536144033 has 24 divisors (see below), whose sum is σ = 111761266176. Its totient is φ = 99552499200.

The previous prime is 105536144009. The next prime is 105536144059. The reversal of 105536144033 is 330441635501.

It is not a de Polignac number, because 105536144033 - 2⁶ = 105536143969 is a prime.

It is a super-2 number, since 2×105536144033² (a number of 23 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 = 105536143984 and 105536144002.

It is not an unprimeable number, because it can be changed into a prime (105536144633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33071468 + ... + 33074658.

It is an arithmetic number, because the mean of its divisors is an integer number (4656719424).

Almost surely, 2^105536144033 is an apocalyptic number.

It is an amenable number.

105536144033 is a deficient number, since it is larger than the sum of its proper divisors (6225122143).

105536144033 is an equidigital number, since it uses as much as digits as its factorization.

105536144033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 105536144033 its reverse (330441635501), we get a palindrome (435977779534).

The spelling of 105536144033 in words is "one hundred five billion, five hundred thirty-six million, one hundred forty-four thousand, thirty-three".