105666315 has 16 divisors (see below), whose sum is σ = 177964800. Its totient is φ = 53389152.

The previous prime is 105666311. The next prime is 105666317. The reversal of 105666315 is 513666501.

It is not a de Polignac number, because 105666315 - 2² = 105666311 is a prime.

It is a super-2 number, since 2×105666315² = 22330740251358450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105666311) 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, 185095 + ... + 185664.

It is an arithmetic number, because the mean of its divisors is an integer number (11122800).

Almost surely, 2^105666315 is an apocalyptic number.

105666315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105666315 is a deficient number, since it is larger than the sum of its proper divisors (72298485).

105666315 is a wasteful number, since it uses less digits than its factorization.

105666315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370786.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 105666315 is about 10279.4121913658. The cubic root of 105666315 is about 472.7652216095.

The spelling of 105666315 in words is "one hundred five million, six hundred sixty-six thousand, three hundred fifteen".