105334131232134 has 96 divisors (see below), whose sum is σ = 265138954629120. Its totient is φ = 29601516700800.

The previous prime is 105334131232133. The next prime is 105334131232199. The reversal of 105334131232134 is 431232131433501.

105334131232134 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 413 + 1 + 23 + 213 + 4 = 666.

It is a super-2 number, since 2×105334131232134² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105334131232133) 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, 22447372 + ... + 26731119.

It is an arithmetic number, because the mean of its divisors is an integer number (2761864110720).

Almost surely, 2^{105334131232134} is an apocalyptic number.

105334131232134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105334131232134 is an abundant number, since it is smaller than the sum of its proper divisors (159804823396986).

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

105334131232134 is a wasteful number, since it uses less digits than its factorization.

105334131232134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49178786 (or 49178783 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 105334131232134 its reverse (431232131433501), we get a palindrome (536566262665635).

The spelling of 105334131232134 in words is "one hundred five trillion, three hundred thirty-four billion, one hundred thirty-one million, two hundred thirty-two thousand, one hundred thirty-four".