105606106 has 16 divisors (see below), whose sum is σ = 162676800. Its totient is φ = 51398208.

The previous prime is 105606101. The next prime is 105606121. The reversal of 105606106 is 601606501.

It is a super-3 number, since 3×105606106³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105606101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7810 + ... + 16498.

It is an arithmetic number, because the mean of its divisors is an integer number (10167300).

Almost surely, 2^105606106 is an apocalyptic number.

105606106 is a deficient number, since it is larger than the sum of its proper divisors (57070694).

105606106 is a wasteful number, since it uses less digits than its factorization.

105606106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8853.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105606106 is about 10276.4831532971. The cubic root of 105606106 is about 472.6754101769.

The spelling of 105606106 in words is "one hundred five million, six hundred six thousand, one hundred six".