105917966 has 16 divisors (see below), whose sum is σ = 198080640. Its totient is φ = 41266680.

The previous prime is 105917957. The next prime is 105917983. The reversal of 105917966 is 669719501.

105917966 = T₁₆₂₀ + T₁₆₂₁ + ... + T₁₆₉₆.

It is a happy number.

It is a super-2 number, since 2×105917966² = 22437231043154312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343736 + ... + 344043.

It is an arithmetic number, because the mean of its divisors is an integer number (12380040).

Almost surely, 2^105917966 is an apocalyptic number.

105917966 is a deficient number, since it is larger than the sum of its proper divisors (92162674).

105917966 is a wasteful number, since it uses less digits than its factorization.

105917966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687799.

The product of its (nonzero) digits is 102060, while the sum is 44.

The square root of 105917966 is about 10291.6454466718. The cubic root of 105917966 is about 473.1402308046.

The spelling of 105917966 in words is "one hundred five million, nine hundred seventeen thousand, nine hundred sixty-six".