105666670 has 32 divisors (see below), whose sum is σ = 193482432. Its totient is φ = 41544192.

The previous prime is 105666661. The next prime is 105666677. The reversal of 105666670 is 76666501.

It is a happy number.

It is a super-2 number, since 2×105666670² = 22330890297777800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666677) 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, 177894 + ... + 178486.

It is an arithmetic number, because the mean of its divisors is an integer number (6046326).

Almost surely, 2^105666670 is an apocalyptic number.

105666670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105666670 is a deficient number, since it is larger than the sum of its proper divisors (87815762).

105666670 is a wasteful number, since it uses less digits than its factorization.

105666670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 105666670 is about 10279.4294588756. The cubic root of 105666670 is about 472.7657510480.

The spelling of 105666670 in words is "one hundred five million, six hundred sixty-six thousand, six hundred seventy".