105197993 has 8 divisors (see below), whose sum is σ = 111767880. Its totient is φ = 98824320.

The previous prime is 105197987. The next prime is 105197999. The reversal of 105197993 is 399791501.

It is an interprime number because it is at equal distance from previous prime (105197987) and next prime (105197999).

It can be written as a sum of positive squares in 4 ways, for example, as 52374169 + 52823824 = 7237^2 + 7268^2 .

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 105197993 - 2²⁰ = 104149417 is a prime.

It is a super-2 number, since 2×105197993² = 22133235462456098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105197999) 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, 47948 + ... + 50093.

It is an arithmetic number, because the mean of its divisors is an integer number (13970985).

Almost surely, 2^105197993 is an apocalyptic number.

It is an amenable number.

105197993 is a deficient number, since it is larger than the sum of its proper divisors (6569887).

105197993 is an equidigital number, since it uses as much as digits as its factorization.

105197993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98107.

The product of its (nonzero) digits is 76545, while the sum is 44.

The square root of 105197993 is about 10256.6072850626. The cubic root of 105197993 is about 472.0657421235.

The spelling of 105197993 in words is "one hundred five million, one hundred ninety-seven thousand, nine hundred ninety-three".