106586024853 has 24 divisors (see below), whose sum is σ = 180345929760. Its totient is φ = 55369362720.

The previous prime is 106586024849. The next prime is 106586024893. The reversal of 106586024853 is 358420685601.

It is a happy number.

It is not a de Polignac number, because 106586024853 - 2² = 106586024849 is a prime.

It is a super-2 number, since 2×106586024853² (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 (106586024893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32956338 + ... + 32959571.

It is an arithmetic number, because the mean of its divisors is an integer number (7514413740).

Almost surely, 2^106586024853 is an apocalyptic number.

It is an amenable number.

106586024853 is a deficient number, since it is larger than the sum of its proper divisors (73759904907).

106586024853 is a wasteful number, since it uses less digits than its factorization.

106586024853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65915937 (or 65915930 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 106586024853 in words is "one hundred six billion, five hundred eighty-six million, twenty-four thousand, eight hundred fifty-three".