105908046 has 8 divisors (see below), whose sum is σ = 211816104. Its totient is φ = 35302680.

The previous prime is 105908041. The next prime is 105908051. The reversal of 105908046 is 640809501.

It is an interprime number because it is at equal distance from previous prime (105908041) and next prime (105908051).

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

105908046 is an admirable number.

It is a super-2 number, since 2×105908046² = 22433028415076232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 105907998 and 105908016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105908041) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8825665 + ... + 8825676.

It is an arithmetic number, because the mean of its divisors is an integer number (26477013).

Almost surely, 2^105908046 is an apocalyptic number.

105908046 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.

105908046 is a wasteful number, since it uses less digits than its factorization.

105908046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17651346.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105908046 is about 10291.1634910733. The cubic root of 105908046 is about 473.1254593175.

The spelling of 105908046 in words is "one hundred five million, nine hundred eight thousand, forty-six".