105485463531 has 24 divisors (see below), whose sum is σ = 174660854784. Its totient is φ = 60095288880.

The previous prime is 105485463521. The next prime is 105485463637. The reversal of 105485463531 is 135364584501.

105485463531 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 8 + 5 + 4 + 635 + 3 + 1 = 666.

It is not a de Polignac number, because 105485463531 - 2⁶ = 105485463467 is a prime.

It is a super-2 number, since 2×105485463531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105485463511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2508411 + ... + 2550116.

It is an arithmetic number, because the mean of its divisors is an integer number (7277535616).

Almost surely, 2^105485463531 is an apocalyptic number.

105485463531 is a deficient number, since it is larger than the sum of its proper divisors (69175391253).

105485463531 is a wasteful number, since it uses less digits than its factorization.

105485463531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058871 (or 5058868 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 105485463531 in words is "one hundred five billion, four hundred eighty-five million, four hundred sixty-three thousand, five hundred thirty-one".