105364420480 has 512 divisors, whose sum is σ = 302067532800. Its totient is φ = 34743582720.

The previous prime is 105364420459. The next prime is 105364420493. The reversal of 105364420480 is 84024463501.

It is a super-2 number, since 2×105364420480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257614516 + ... + 257614924.

It is an arithmetic number, because the mean of its divisors is an integer number (589975650).

Almost surely, 2^105364420480 is an apocalyptic number.

105364420480 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 105364420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151033766400).

105364420480 is an abundant number, since it is smaller than the sum of its proper divisors (196703112320).

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

105364420480 is a wasteful number, since it uses less digits than its factorization.

105364420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 105364420480 its reverse (84024463501), we get a palindrome (189388883981).

The spelling of 105364420480 in words is "one hundred five billion, three hundred sixty-four million, four hundred twenty thousand, four hundred eighty".