105606011 has 8 divisors (see below), whose sum is σ = 120756480. Its totient is φ = 90471528.

The previous prime is 105605999. The next prime is 105606013. The reversal of 105606011 is 110606501.

It is a happy number.

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

It is not a de Polignac number, because 105606011 - 2¹⁸ = 105343867 is a prime.

It is a super-3 number, since 3×105606011³ (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 (105606013) 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, 19010 + ... + 23928.

It is an arithmetic number, because the mean of its divisors is an integer number (15094560).

Almost surely, 2^105606011 is an apocalyptic number.

105606011 is a deficient number, since it is larger than the sum of its proper divisors (15150469).

105606011 is an equidigital number, since it uses as much as digits as its factorization.

105606011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105606011 is about 10276.4785310923. The cubic root of 105606011 is about 472.6752684421.

The spelling of 105606011 in words is "one hundred five million, six hundred six thousand, eleven".