105340313504420 has 24 divisors (see below), whose sum is σ = 221217621723000. Its totient is φ = 42135560951552.

The previous prime is 105340313504411. The next prime is 105340313504443. The reversal of 105340313504420 is 24405313043501.

It can be written as a sum of positive squares in 4 ways, for example, as 2797430192704 + 102542883311716 = 1672552^2 + 10126346^2 .

It is a super-2 number, since 2×105340313504420² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33746195 + ... + 36735354.

It is an arithmetic number, because the mean of its divisors is an integer number (9217400905125).

Almost surely, 2^{105340313504420} is an apocalyptic number.

105340313504420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105340313504420 is an abundant number, since it is smaller than the sum of its proper divisors (115877308218580).

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

105340313504420 is a wasteful number, since it uses less digits than its factorization.

105340313504420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70556287 (or 70556285 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 105340313504420 its reverse (24405313043501), we get a palindrome (129745626547921).

The spelling of 105340313504420 in words is "one hundred five trillion, three hundred forty billion, three hundred thirteen million, five hundred four thousand, four hundred twenty".