105928768089 has 75 divisors (see below), whose sum is σ = 167790713673. Its totient is φ = 66598359408.

The previous prime is 105928768081. The next prime is 105928768093. The reversal of 105928768089 is 980867829501.

It is a happy number.

The square root of 105928768089 is 325467.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 251761689 + 105677006400 = 15867^2 + 325080^2 .

It is not a de Polignac number, because 105928768089 - 2³ = 105928768081 is a prime.

It is a super-2 number, since 2×105928768089² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105928768081) 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 74 ways as a sum of consecutive naturals, for example, 2463459702 + ... + 2463459744.

Almost surely, 2^105928768089 is an apocalyptic number.

105928768089 is the 325467-th square number.

105928768089 is the 162734-th centered octagonal number.

It is an amenable number.

105928768089 is a deficient number, since it is larger than the sum of its proper divisors (61861945584).

105928768089 is an frugal number, since it uses more digits than its factorization.

105928768089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 105928768089 in words is "one hundred five billion, nine hundred twenty-eight million, seven hundred sixty-eight thousand, eighty-nine".