103191 has 16 divisors (see below), whose sum is σ = 155520. Its totient is φ = 60320.

The previous prime is 103183. The next prime is 103217. The reversal of 103191 is 191301.

103191 = T₃₄ + T₃₅ + ... + T₈₆.

It is a cyclic number.

It is not a de Polignac number, because 103191 - 2³ = 103183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720 + ... + 1778.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2¹⁰³¹⁹¹ is an apocalyptic number.

103191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103191 is a deficient number, since it is larger than the sum of its proper divisors (52329).

103191 is a wasteful number, since it uses less digits than its factorization.

103191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 103191 is about 321.2335598906. The cubic root of 103191 is about 46.9044383971.

Adding to 103191 its reverse (191301), we get a palindrome (294492).

The spelling of 103191 in words is "one hundred three thousand, one hundred ninety-one".