105018993 has 12 divisors (see below), whose sum is σ = 153087220. Its totient is φ = 69369696.

The previous prime is 105018971. The next prime is 105019037. The reversal of 105018993 is 399810501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78269409 + 26749584 = 8847^2 + 5172^2 .

It is not a de Polignac number, because 105018993 - 2⁵ = 105018961 is a prime.

It is a super-2 number, since 2×105018993² = 22057977781468098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105018293) 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 11 ways as a sum of consecutive naturals, for example, 52546 + ... + 54507.

Almost surely, 2^105018993 is an apocalyptic number.

It is an amenable number.

105018993 is a deficient number, since it is larger than the sum of its proper divisors (48068227).

105018993 is a wasteful number, since it uses less digits than its factorization.

105018993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107168 (or 107165 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 105018993 is about 10247.8774875581. The cubic root of 105018993 is about 471.7978417649.

The spelling of 105018993 in words is "one hundred five million, eighteen thousand, nine hundred ninety-three".