105234325122033 has 24 divisors (see below), whose sum is σ = 157115617439040. Its totient is φ = 67836519646560.

The previous prime is 105234325122013. The next prime is 105234325122053. The reversal of 105234325122033 is 330221523432501.

105234325122033 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 3 + 432 + 5 + 12 + 203 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (105234325122013) and next prime (105234325122053).

It is not a de Polignac number, because 105234325122033 - 2²¹ = 105234323024881 is a prime.

It is a super-2 number, since 2×105234325122033² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105234325122013) 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, 1624405341 + ... + 1624470122.

It is an arithmetic number, because the mean of its divisors is an integer number (6546484059960).

Almost surely, 2^{105234325122033} is an apocalyptic number.

It is an amenable number.

105234325122033 is a deficient number, since it is larger than the sum of its proper divisors (51881292317007).

105234325122033 is a wasteful number, since it uses less digits than its factorization.

105234325122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248875589 (or 3248875586 counting only the distinct ones).

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

Adding to 105234325122033 its reverse (330221523432501), we get a palindrome (435455848554534).

The spelling of 105234325122033 in words is "one hundred five trillion, two hundred thirty-four billion, three hundred twenty-five million, one hundred twenty-two thousand, thirty-three".