105332533400241 has 48 divisors (see below), whose sum is σ = 174581113150080. Its totient is φ = 59948131104000.

The previous prime is 105332533400203. The next prime is 105332533400251. The reversal of 105332533400241 is 142004335233501.

105332533400241 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 2 + 5 + 3 + 3 + 400 + 241 = 666.

It is not a de Polignac number, because 105332533400241 - 2⁷ = 105332533400113 is a prime.

It is a super-2 number, since 2×105332533400241² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105332533400196 and 105332533400205.

It is not an unprimeable number, because it can be changed into a prime (105332533400251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531043701 + ... + 531242013.

It is an arithmetic number, because the mean of its divisors is an integer number (3637106523960).

Almost surely, 2^{105332533400241} is an apocalyptic number.

It is an amenable number.

105332533400241 is a deficient number, since it is larger than the sum of its proper divisors (69248579749839).

105332533400241 is a wasteful number, since it uses less digits than its factorization.

105332533400241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232166 (or 232163 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 105332533400241 its reverse (142004335233501), we get a palindrome (247336868633742).

The spelling of 105332533400241 in words is "one hundred five trillion, three hundred thirty-two billion, five hundred thirty-three million, four hundred thousand, two hundred forty-one".