105486434575 has 48 divisors (see below), whose sum is σ = 134906901120. Its totient is φ = 81780433920.

The previous prime is 105486434549. The next prime is 105486434591. The reversal of 105486434575 is 575434684501.

It is not a de Polignac number, because 105486434575 - 2¹⁹ = 105485910287 is a prime.

It is a super-2 number, since 2×105486434575² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98677141 + ... + 98678209.

It is an arithmetic number, because the mean of its divisors is an integer number (2810560440).

Almost surely, 2^105486434575 is an apocalyptic number.

105486434575 is a deficient number, since it is larger than the sum of its proper divisors (29420466545).

105486434575 is a wasteful number, since it uses less digits than its factorization.

105486434575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 52.

The spelling of 105486434575 in words is "one hundred five billion, four hundred eighty-six million, four hundred thirty-four thousand, five hundred seventy-five".