105606166 has 8 divisors (see below), whose sum is σ = 158786784. Its totient is φ = 52677240.

The previous prime is 105606121. The next prime is 105606169. The reversal of 105606166 is 661606501.

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

It is a super-3 number, since 3×105606166³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606169) 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 3 ways as a sum of consecutive naturals, for example, 61870 + ... + 63553.

It is an arithmetic number, because the mean of its divisors is an integer number (19848348).

Almost surely, 2^105606166 is an apocalyptic number.

105606166 is a deficient number, since it is larger than the sum of its proper divisors (53180618).

105606166 is a wasteful number, since it uses less digits than its factorization.

105606166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125846.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 105606166 is about 10276.4860725834. The cubic root of 105606166 is about 472.6754996936.

The spelling of 105606166 in words is "one hundred five million, six hundred six thousand, one hundred sixty-six".