105968073 has 16 divisors (see below), whose sum is σ = 149497920. Its totient is φ = 66580416.

The previous prime is 105968069. The next prime is 105968087. The reversal of 105968073 is 370869501.

It is not a de Polignac number, because 105968073 - 2² = 105968069 is a prime.

It is a super-2 number, since 2×105968073² = 22458464990666658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105968053) 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, 6511 + ... + 15947.

It is an arithmetic number, because the mean of its divisors is an integer number (9343620).

Almost surely, 2^105968073 is an apocalyptic number.

It is an amenable number.

105968073 is a deficient number, since it is larger than the sum of its proper divisors (43529847).

105968073 is a wasteful number, since it uses less digits than its factorization.

105968073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 105968073 is about 10294.0795120302. The cubic root of 105968073 is about 473.2148291028.

The spelling of 105968073 in words is "one hundred five million, nine hundred sixty-eight thousand, seventy-three".