105363989844480 has 800 divisors, whose sum is σ = 402987697136640. Its totient is φ = 26253050019840.

The previous prime is 105363989844413. The next prime is 105363989844521. The reversal of 105363989844480 is 84448989363501.

105363989844480 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 3 + 98 + 98 + 4 + 448 + 0 = 666.

It is a super-2 number, since 2×105363989844480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 105363989844399 and 105363989844408.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 186134037 + ... + 186699243.

Almost surely, 2^{105363989844480} is an apocalyptic number.

105363989844480 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 105363989844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201493848568320).

105363989844480 is an abundant number, since it is smaller than the sum of its proper divisors (297623707292160).

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

105363989844480 is an equidigital number, since it uses as much as digits as its factorization.

105363989844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565302 (or 565277 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 105363989844480 in words is "one hundred five trillion, three hundred sixty-three billion, nine hundred eighty-nine million, eight hundred forty-four thousand, four hundred eighty".