105506089 has 8 divisors (see below), whose sum is σ = 117540360. Its totient is φ = 94031616.

The previous prime is 105506087. The next prime is 105506099. The reversal of 105506089 is 980605501.

It can be written as a sum of positive squares in 4 ways, for example, as 33120025 + 72386064 = 5755^2 + 8508^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105506089 - 2¹ = 105506087 is a prime.

It is a super-3 number, since 3×105506089³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105506087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139552 + ... + 140305.

It is an arithmetic number, because the mean of its divisors is an integer number (14692545).

Almost surely, 2^105506089 is an apocalyptic number.

It is an amenable number.

105506089 is a deficient number, since it is larger than the sum of its proper divisors (12034271).

105506089 is a wasteful number, since it uses less digits than its factorization.

105506089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279899.

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 105506089 is about 10271.6156956927. The cubic root of 105506089 is about 472.5261432116.

The spelling of 105506089 in words is "one hundred five million, five hundred six thousand, eighty-nine".