105752669553 has 24 divisors (see below), whose sum is σ = 161781879168. Its totient is φ = 69001734384.

The previous prime is 105752669513. The next prime is 105752669569. The reversal of 105752669553 is 355966257501.

105752669553 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 5 + 26 + 69 + 553 = 666.

It is not a de Polignac number, because 105752669553 - 2⁹ = 105752669041 is a prime.

It is a super-2 number, since 2×105752669553² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105752669553.

It is not an unprimeable number, because it can be changed into a prime (105752669513) 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, 4618326 + ... + 4641167.

It is an arithmetic number, because the mean of its divisors is an integer number (6740911632).

Almost surely, 2^105752669553 is an apocalyptic number.

It is an amenable number.

105752669553 is a deficient number, since it is larger than the sum of its proper divisors (56029209615).

105752669553 is an frugal number, since it uses more digits than its factorization.

105752669553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9259555 (or 9259543 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The spelling of 105752669553 in words is "one hundred five billion, seven hundred fifty-two million, six hundred sixty-nine thousand, five hundred fifty-three".