105217993 has 4 divisors (see below), whose sum is σ = 105261700. Its totient is φ = 105174288.

The previous prime is 105217979. The next prime is 105218011. The reversal of 105217993 is 399712501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 79085449 = 5112^2 + 8893^2 .

It is a cyclic number.

It is not a de Polignac number, because 105217993 - 2⁵ = 105217961 is a prime.

It is a super-2 number, since 2×105217993² = 22141652101896098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105217933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18018 + ... + 23131.

It is an arithmetic number, because the mean of its divisors is an integer number (26315425).

Almost surely, 2^105217993 is an apocalyptic number.

It is an amenable number.

105217993 is a deficient number, since it is larger than the sum of its proper divisors (43707).

105217993 is an equidigital number, since it uses as much as digits as its factorization.

105217993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43706.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 105217993 is about 10257.5822199971. The cubic root of 105217993 is about 472.0956562449.

The spelling of 105217993 in words is "one hundred five million, two hundred seventeen thousand, nine hundred ninety-three".