105413224320 has 192 divisors, whose sum is σ = 371750783040. Its totient is φ = 27512033280.

The previous prime is 105413224313. The next prime is 105413224337. The reversal of 105413224320 is 23422314501.

105413224320 is a `hidden beast` number, since 1 + 0 + 5 + 413 + 2 + 243 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105413224320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76030 + ... + 465410.

It is an arithmetic number, because the mean of its divisors is an integer number (1936201995).

Almost surely, 2^105413224320 is an apocalyptic number.

105413224320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105413224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185875391520).

105413224320 is an abundant number, since it is smaller than the sum of its proper divisors (266337558720).

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

105413224320 is a wasteful number, since it uses less digits than its factorization.

105413224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389453 (or 389438 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105413224320 its reverse (23422314501), we get a palindrome (128835538821).

The spelling of 105413224320 in words is "one hundred five billion, four hundred thirteen million, two hundred twenty-four thousand, three hundred twenty".