105907233 has 8 divisors (see below), whose sum is σ = 141827200. Its totient is φ = 70296048.

The previous prime is 105907213. The next prime is 105907247. The reversal of 105907233 is 332709501.

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

It is not a de Polignac number, because 105907233 - 2⁵ = 105907201 is a prime.

It is a super-2 number, since 2×105907233² = 22432684003432578, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105907233.

It is not an unprimeable number, because it can be changed into a prime (105907213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76393 + ... + 77766.

It is an arithmetic number, because the mean of its divisors is an integer number (17728400).

Almost surely, 2^105907233 is an apocalyptic number.

It is an amenable number.

105907233 is a deficient number, since it is larger than the sum of its proper divisors (35919967).

105907233 is a wasteful number, since it uses less digits than its factorization.

105907233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154391.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 105907233 is about 10291.1239910906. The cubic root of 105907233 is about 473.1242486698.

The spelling of 105907233 in words is "one hundred five million, nine hundred seven thousand, two hundred thirty-three".