105282993 has 8 divisors (see below), whose sum is σ = 141402528. Its totient is φ = 69676064.

The previous prime is 105282943. The next prime is 105283001. The reversal of 105282993 is 399282501.

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 105282993 - 2²⁵ = 71728561 is a prime.

It is a super-2 number, since 2×105282993² = 22169017230076098, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105282943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127671 + ... + 128492.

It is an arithmetic number, because the mean of its divisors is an integer number (17675316).

Almost surely, 2^105282993 is an apocalyptic number.

It is an amenable number.

105282993 is a deficient number, since it is larger than the sum of its proper divisors (36119535).

105282993 is a wasteful number, since it uses less digits than its factorization.

105282993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256303.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 105282993 is about 10260.7501187779. The cubic root of 105282993 is about 472.1928509673.

The spelling of 105282993 in words is "one hundred five million, two hundred eighty-two thousand, nine hundred ninety-three".