105197 has 4 divisors (see below), whose sum is σ = 107040. Its totient is φ = 103356.

The previous prime is 105173. The next prime is 105199. The reversal of 105197 is 791501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105197 - 2¹⁰ = 104173 is a prime.

It is a super-2 number, since 2×105197² = 22132817618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 833 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (26760).

2¹⁰⁵¹⁹⁷ is an apocalyptic number.

It is an amenable number.

105197 is a deficient number, since it is larger than the sum of its proper divisors (1843).

105197 is an equidigital number, since it uses as much as digits as its factorization.

105197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 105197 is about 324.3408700734. The cubic root of 105197 is about 47.2064256789.

Adding to 105197 its reverse (791501), we get a palindrome (896698).

The spelling of 105197 in words is "one hundred five thousand, one hundred ninety-seven".