105485553585 has 20 divisors (see below), whose sum is σ = 189092622708. Its totient is φ = 56258961696.

The previous prime is 105485553533. The next prime is 105485553629. The reversal of 105485553585 is 585355584501.

105485553585 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 8 + 5 + 5 + 53 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54079967601 + 51405585984 = 232551^2 + 226728^2 .

It is not a de Polignac number, because 105485553585 - 2¹⁵ = 105485520817 is a prime.

It is a super-2 number, since 2×105485553585² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 130228674 + ... + 130229483.

Almost surely, 2^105485553585 is an apocalyptic number.

105485553585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105485553585 is a deficient number, since it is larger than the sum of its proper divisors (83607069123).

105485553585 is an equidigital number, since it uses as much as digits as its factorization.

105485553585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260458174 (or 260458165 counting only the distinct ones).

The product of its (nonzero) digits is 12000000, while the sum is 54.

The spelling of 105485553585 in words is "one hundred five billion, four hundred eighty-five million, five hundred fifty-three thousand, five hundred eighty-five".