105405051324 has 48 divisors (see below), whose sum is σ = 250550092800. Its totient is φ = 34482492096.

The previous prime is 105405051313. The next prime is 105405051331. The reversal of 105405051324 is 423150504501.

It is a super-2 number, since 2×105405051324² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105405051291 and 105405051300.

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, 174579 + ... + 491210.

It is an arithmetic number, because the mean of its divisors is an integer number (5219793600).

Almost surely, 2^105405051324 is an apocalyptic number.

It is an amenable number.

105405051324 is an abundant number, since it is smaller than the sum of its proper divisors (145145041476).

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

105405051324 is a wasteful number, since it uses less digits than its factorization.

105405051324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666042 (or 666040 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105405051324 its reverse (423150504501), we get a palindrome (528555555825).

The spelling of 105405051324 in words is "one hundred five billion, four hundred five million, fifty-one thousand, three hundred twenty-four".