105488933 has 16 divisors (see below), whose sum is σ = 119218176. Its totient is φ = 92505840.

The previous prime is 105488917. The next prime is 105488951. The reversal of 105488933 is 339884501.

It is a cyclic number.

It is not a de Polignac number, because 105488933 - 2⁴ = 105488917 is a prime.

It is a super-2 number, since 2×105488933² = 22255829970956978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105488953) 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 15 ways as a sum of consecutive naturals, for example, 37916 + ... + 40602.

It is an arithmetic number, because the mean of its divisors is an integer number (7451136).

Almost surely, 2^105488933 is an apocalyptic number.

It is an amenable number.

105488933 is a deficient number, since it is larger than the sum of its proper divisors (13729243).

105488933 is a wasteful number, since it uses less digits than its factorization.

105488933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 105488933 is about 10270.7805448272. The cubic root of 105488933 is about 472.5005298465.

The spelling of 105488933 in words is "one hundred five million, four hundred eighty-eight thousand, nine hundred thirty-three".