105273512960000 has 1680 divisors, whose sum is σ = 343213103800512. Its totient is φ = 31894732800000.

The previous prime is 105273512959991. The next prime is 105273512960071. The reversal of 105273512960000 is 69215372501.

It is a super-2 number, since 2×105273512960000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105273512960000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102108159485 + ... + 102108160515.

Almost surely, 2^{105273512960000} is an apocalyptic number.

105273512960000 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 105273512960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171606551900256).

105273512960000 is an abundant number, since it is smaller than the sum of its proper divisors (237939590840512).

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

105273512960000 is an equidigital number, since it uses as much as digits as its factorization.

105273512960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 105273512960000 in words is "one hundred five trillion, two hundred seventy-three billion, five hundred twelve million, nine hundred sixty thousand".