105855531010533 has 6 divisors (see below), whose sum is σ = 152902433681894. Its totient is φ = 70570354007016.

The previous prime is 105855531010499. The next prime is 105855531010589. The reversal of 105855531010533 is 335010135558501.

It is a happy number.

105855531010533 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 5 + 5 + 5 + 3 + 101 + 0 + 533 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105554110246209 + 301420764324 = 10273953^2 + 549018^2 .

It is not a de Polignac number, because 105855531010533 - 2¹⁰ = 105855531009509 is a prime.

It is a super-2 number, since 2×105855531010533² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105855531010133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5880862833910 + ... + 5880862833927.

Almost surely, 2^{105855531010533} is an apocalyptic number.

It is an amenable number.

105855531010533 is a deficient number, since it is larger than the sum of its proper divisors (47046902671361).

105855531010533 is a wasteful number, since it uses less digits than its factorization.

105855531010533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761725667843 (or 11761725667840 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 105855531010533 in words is "one hundred five trillion, eight hundred fifty-five billion, five hundred thirty-one million, ten thousand, five hundred thirty-three".