105577813485 has 24 divisors (see below), whose sum is σ = 184318112160. Its totient is φ = 55903069152.

The previous prime is 105577813483. The next prime is 105577813493. The reversal of 105577813485 is 584318775501.

105577813485 is a `hidden beast` number, since 1 + 0 + 557 + 7 + 8 + 1 + 3 + 4 + 85 = 666.

It is not a de Polignac number, because 105577813485 - 2¹ = 105577813483 is a prime.

It is a super-2 number, since 2×105577813485² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105577813483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8433219 + ... + 8445728.

It is an arithmetic number, because the mean of its divisors is an integer number (7679921340).

Almost surely, 2^105577813485 is an apocalyptic number.

105577813485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105577813485 is a deficient number, since it is larger than the sum of its proper divisors (78740298675).

105577813485 is a wasteful number, since it uses less digits than its factorization.

105577813485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16879097 (or 16879094 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 105577813485 in words is "one hundred five billion, five hundred seventy-seven million, eight hundred thirteen thousand, four hundred eighty-five".