105706006 has 32 divisors (see below), whose sum is σ = 191416320. Its totient is φ = 42768000.

The previous prime is 105705959. The next prime is 105706019. The reversal of 105706006 is 600607501.

It is a super-2 number, since 2×105706006² = 22347519408944072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106171 + ... + 107161.

It is an arithmetic number, because the mean of its divisors is an integer number (5981760).

Almost surely, 2^105706006 is an apocalyptic number.

105706006 is a deficient number, since it is larger than the sum of its proper divisors (85710314).

105706006 is a wasteful number, since it uses less digits than its factorization.

105706006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105706006 is about 10281.3426166041. The cubic root of 105706006 is about 472.8244084797.

The spelling of 105706006 in words is "one hundred five million, seven hundred six thousand, six".