105195 has 8 divisors (see below), whose sum is σ = 168336. Its totient is φ = 56096.

The previous prime is 105173. The next prime is 105199. The reversal of 105195 is 591501.

It is a happy number.

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 105195 - 2⁹ = 104683 is a prime.

It is a super-2 number, since 2×105195² = 22131976050, which contains 22 as substring.

105195 is a lucky 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 7 ways as a sum of consecutive naturals, for example, 3492 + ... + 3521.

It is an arithmetic number, because the mean of its divisors is an integer number (21042).

2¹⁰⁵¹⁹⁵ is an apocalyptic number.

105195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105195 is a deficient number, since it is larger than the sum of its proper divisors (63141).

105195 is an equidigital number, since it uses as much as digits as its factorization.

105195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021.

The product of its (nonzero) digits is 225, while the sum is 21.

The square root of 105195 is about 324.3377868827. The cubic root of 105195 is about 47.2061265149.

Adding to 105195 its reverse (591501), we get a palindrome (696696).

It can be divided in two parts, 105 and 195, that added together give a triangular number (300 = T₂₄).

The spelling of 105195 in words is "one hundred five thousand, one hundred ninety-five".