105485053113 has 64 divisors (see below), whose sum is σ = 173932738560. Its totient is φ = 62639179200.

The previous prime is 105485053109. The next prime is 105485053207. The reversal of 105485053113 is 311350584501.

It is a happy number.

105485053113 is a `hidden beast` number, since 1 + 0 + 548 + 50 + 53 + 1 + 13 = 666.

It is not a de Polignac number, because 105485053113 - 2² = 105485053109 is a prime.

It is a super-2 number, since 2×105485053113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105485053813) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12761820 + ... + 12770082.

It is an arithmetic number, because the mean of its divisors is an integer number (2717699040).

Almost surely, 2^105485053113 is an apocalyptic number.

It is an amenable number.

105485053113 is a deficient number, since it is larger than the sum of its proper divisors (68447685447).

105485053113 is a wasteful number, since it uses less digits than its factorization.

105485053113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 105485053113 in words is "one hundred five billion, four hundred eighty-five million, fifty-three thousand, one hundred thirteen".