105933966 has 8 divisors (see below), whose sum is σ = 211867944. Its totient is φ = 35311320.

The previous prime is 105933931. The next prime is 105933967. The reversal of 105933966 is 669339501.

It is a sphenic number, since it is the product of 3 distinct primes.

105933966 is an admirable number.

It is a super-2 number, since 2×105933966² = 22444010304978312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105933967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8827825 + ... + 8827836.

It is an arithmetic number, because the mean of its divisors is an integer number (26483493).

Almost surely, 2^105933966 is an apocalyptic number.

105933966 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105933966 is a wasteful number, since it uses less digits than its factorization.

105933966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17655666.

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 105933966 is about 10292.4227468561. The cubic root of 105933966 is about 473.1640538406.

The spelling of 105933966 in words is "one hundred five million, nine hundred thirty-three thousand, nine hundred sixty-six".