105085706 has 32 divisors (see below), whose sum is σ = 177883776. Its totient is φ = 46144000.

The previous prime is 105085703. The next prime is 105085723. The reversal of 105085706 is 607580501.

It is a super-2 number, since 2×105085706² = 22086011211036872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105085703) 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 15 ways as a sum of consecutive naturals, for example, 101411 + ... + 102441.

It is an arithmetic number, because the mean of its divisors is an integer number (5558868).

Almost surely, 2^105085706 is an apocalyptic number.

105085706 is a deficient number, since it is larger than the sum of its proper divisors (72798070).

105085706 is a wasteful number, since it uses less digits than its factorization.

105085706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 105085706 is about 10251.1319374984. The cubic root of 105085706 is about 471.8977233389.

The spelling of 105085706 in words is "one hundred five million, eighty-five thousand, seven hundred six".