105845672 has 32 divisors (see below), whose sum is σ = 210940200. Its totient is φ = 49791232.

The previous prime is 105845671. The next prime is 105845681. The reversal of 105845672 is 276548501.

It can be written as a sum of positive squares in 4 ways, for example, as 90744676 + 15100996 = 9526^2 + 3886^2 .

It is a super-2 number, since 2×105845672² = 22406612562263168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105845671) 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 7 ways as a sum of consecutive naturals, for example, 37958 + ... + 40650.

Almost surely, 2^105845672 is an apocalyptic number.

It is an amenable number.

105845672 is a deficient number, since it is larger than the sum of its proper divisors (105094528).

105845672 is an equidigital number, since it uses as much as digits as its factorization.

105845672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 105845672 is about 10288.1325807942. The cubic root of 105845672 is about 473.0325594740.

The spelling of 105845672 in words is "one hundred five million, eight hundred forty-five thousand, six hundred seventy-two".