105928 has 8 divisors (see below), whose sum is σ = 198630. Its totient is φ = 52960.

The previous prime is 105913. The next prime is 105929. The reversal of 105928 is 829501.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 49284 = 238^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105928² = 22441482368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6613 + ... + 6628.

2¹⁰⁵⁹²⁸ is an apocalyptic number.

It is an amenable number.

105928 is a deficient number, since it is larger than the sum of its proper divisors (92702).

105928 is a wasteful number, since it uses less digits than its factorization.

105928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13247 (or 13243 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 105928 is about 325.4658200180. The cubic root of 105928 is about 47.3155171107.

The spelling of 105928 in words is "one hundred five thousand, nine hundred twenty-eight".