105340313504524 has 48 divisors (see below), whose sum is σ = 210790551456576. Its totient is φ = 45122295859200.

The previous prime is 105340313504519. The next prime is 105340313504561. The reversal of 105340313504524 is 425405313043501.

It is a super-2 number, since 2×105340313504524² (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 15 ways as a sum of consecutive naturals, for example, 1358822884 + ... + 1358900404.

It is an arithmetic number, because the mean of its divisors is an integer number (4391469822012).

Almost surely, 2^{105340313504524} is an apocalyptic number.

105340313504524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105340313504524 is an abundant number, since it is smaller than the sum of its proper divisors (105450237952052).

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

105340313504524 is a wasteful number, since it uses less digits than its factorization.

105340313504524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102226 (or 102224 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 105340313504524 in words is "one hundred five trillion, three hundred forty billion, three hundred thirteen million, five hundred four thousand, five hundred twenty-four".