105904938 has 8 divisors (see below), whose sum is σ = 211809888. Its totient is φ = 35301644.

The previous prime is 105904937. The next prime is 105904961. The reversal of 105904938 is 839409501.

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

105904938 is an admirable number.

It is a super-2 number, since 2×105904938² = 22431711785567688, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105904896 and 105904905.

It is not an unprimeable number, because it can be changed into a prime (105904933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8825406 + ... + 8825417.

It is an arithmetic number, because the mean of its divisors is an integer number (26476236).

Almost surely, 2^105904938 is an apocalyptic number.

105904938 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.

105904938 is a wasteful number, since it uses less digits than its factorization.

105904938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17650828.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 105904938 is about 10291.0124866312. The cubic root of 105904938 is about 473.1208311255.

The spelling of 105904938 in words is "one hundred five million, nine hundred four thousand, nine hundred thirty-eight".