105133612266342 has 128 divisors (see below), whose sum is σ = 268293836044800. Its totient is φ = 30180739968000.

The previous prime is 105133612266341. The next prime is 105133612266379. The reversal of 105133612266342 is 243662216331501.

105133612266342 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 3 + 6 + 1 + 2 + 2 + 6 + 634 + 2 = 666.

It is a super-2 number, since 2×105133612266342² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105133612266341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319195342 + ... + 319524542.

It is an arithmetic number, because the mean of its divisors is an integer number (2096045594100).

Almost surely, 2^{105133612266342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105133612266342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134146918022400).

105133612266342 is an abundant number, since it is smaller than the sum of its proper divisors (163160223778458).

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

105133612266342 is a wasteful number, since it uses less digits than its factorization.

105133612266342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357539 (or 357533 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 105133612266342 its reverse (243662216331501), we get a palindrome (348795828597843).

The spelling of 105133612266342 in words is "one hundred five trillion, one hundred thirty-three billion, six hundred twelve million, two hundred sixty-six thousand, three hundred forty-two".