105508052728 has 32 divisors (see below), whose sum is σ = 217064836800. Its totient is φ = 47777228928.

The previous prime is 105508052723. The next prime is 105508052747. The reversal of 105508052728 is 827250805501.

It is a super-2 number, since 2×105508052728² (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 (105508052723) 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 7 ways as a sum of consecutive naturals, for example, 9565248 + ... + 9576271.

It is an arithmetic number, because the mean of its divisors is an integer number (6783276150).

Almost surely, 2^105508052728 is an apocalyptic number.

It is an amenable number.

105508052728 is an abundant number, since it is smaller than the sum of its proper divisors (111556784072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105508052728 is a wasteful number, since it uses less digits than its factorization.

105508052728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19141591 (or 19141587 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 43.

The spelling of 105508052728 in words is "one hundred five billion, five hundred eight million, fifty-two thousand, seven hundred twenty-eight".