105005351334 has 32 divisors (see below), whose sum is σ = 235998653184. Its totient is φ = 30904584480.

The previous prime is 105005351293. The next prime is 105005351351. The reversal of 105005351334 is 433153500501.

It is a super-2 number, since 2×105005351334² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29263912 + ... + 29267499.

It is an arithmetic number, because the mean of its divisors is an integer number (7374957912).

Almost surely, 2^105005351334 is an apocalyptic number.

105005351334 is an abundant number, since it is smaller than the sum of its proper divisors (130993301850).

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

105005351334 is a wasteful number, since it uses less digits than its factorization.

105005351334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58531452.

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 105005351334 its reverse (433153500501), we get a palindrome (538158851835).

The spelling of 105005351334 in words is "one hundred five billion, five million, three hundred fifty-one thousand, three hundred thirty-four".