105525330553 has 16 divisors (see below), whose sum is σ = 108903999744. Its totient is φ = 102195145600.

The previous prime is 105525330541. The next prime is 105525330571. The reversal of 105525330553 is 355033525501.

It is not a de Polignac number, because 105525330553 - 2²⁵ = 105491776121 is a prime.

It is a super-2 number, since 2×105525330553² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105525330583) 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 15 ways as a sum of consecutive naturals, for example, 9046701 + ... + 9058357.

It is an arithmetic number, because the mean of its divisors is an integer number (6806499984).

Almost surely, 2^105525330553 is an apocalyptic number.

It is an amenable number.

105525330553 is a deficient number, since it is larger than the sum of its proper divisors (3378669191).

105525330553 is a wasteful number, since it uses less digits than its factorization.

105525330553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13712.

The product of its (nonzero) digits is 168750, while the sum is 37.

The spelling of 105525330553 in words is "one hundred five billion, five hundred twenty-five million, three hundred thirty thousand, five hundred fifty-three".