105735993 has 16 divisors (see below), whose sum is σ = 154008000. Its totient is φ = 63994880.

The previous prime is 105735977. The next prime is 105736027. The reversal of 105735993 is 399537501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105735993 - 2⁴ = 105735977 is a prime.

It is a super-2 number, since 2×105735993² = 22360200431392098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105735953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28933 + ... + 32381.

It is an arithmetic number, because the mean of its divisors is an integer number (9625500).

Almost surely, 2^105735993 is an apocalyptic number.

It is an amenable number.

105735993 is a deficient number, since it is larger than the sum of its proper divisors (48272007).

105735993 is a wasteful number, since it uses less digits than its factorization.

105735993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392.

The product of its (nonzero) digits is 127575, while the sum is 42.

The square root of 105735993 is about 10282.8008344030. The cubic root of 105735993 is about 472.8691150060.

The spelling of 105735993 in words is "one hundred five million, seven hundred thirty-five thousand, nine hundred ninety-three".