105289633 has 8 divisors (see below), whose sum is σ = 109442880. Its totient is φ = 101171280.

The previous prime is 105289631. The next prime is 105289643. The reversal of 105289633 is 336982501.

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

It is a cyclic number.

It is not a de Polignac number, because 105289633 - 2¹ = 105289631 is a prime.

It is a super-2 number, since 2×105289633² = 22171813634549378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105289592 and 105289601.

It is not an unprimeable number, because it can be changed into a prime (105289631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2485 + ... + 14722.

It is an arithmetic number, because the mean of its divisors is an integer number (13680360).

Almost surely, 2^105289633 is an apocalyptic number.

It is an amenable number.

105289633 is a deficient number, since it is larger than the sum of its proper divisors (4153247).

105289633 is a wasteful number, since it uses less digits than its factorization.

105289633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17447.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 105289633 is about 10261.0736767650. The cubic root of 105289633 is about 472.2027775297.

The spelling of 105289633 in words is "one hundred five million, two hundred eighty-nine thousand, six hundred thirty-three".