105459487520 has 24 divisors (see below), whose sum is σ = 249148039644. Its totient is φ = 42183794944.

The previous prime is 105459487489. The next prime is 105459487531. The reversal of 105459487520 is 25784954501.

105459487520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103841195536 + 1618291984 = 322244^2 + 40228^2 .

It is a super-2 number, since 2×105459487520² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329560739 + ... + 329561058.

Almost surely, 2^105459487520 is an apocalyptic number.

105459487520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105459487520 is an abundant number, since it is smaller than the sum of its proper divisors (143688552124).

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

105459487520 is an equidigital number, since it uses as much as digits as its factorization.

105459487520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659121812 (or 659121804 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 50.

The spelling of 105459487520 in words is "one hundred five billion, four hundred fifty-nine million, four hundred eighty-seven thousand, five hundred twenty".