105190 has 16 divisors (see below), whose sum is σ = 193392. Its totient is φ = 41184.

The previous prime is 105173. The next prime is 105199. The reversal of 105190 is 91501.

It is a super-2 number, since 2×105190² = 22129872200, which contains 22 as substring.

It is a congruent number.

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

105190 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (12087).

2¹⁰⁵¹⁹⁰ is an apocalyptic number.

105190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105190 is a deficient number, since it is larger than the sum of its proper divisors (88202).

105190 is a wasteful number, since it uses less digits than its factorization.

105190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 105190 is about 324.3300787778. The cubic root of 105190 is about 47.2053785884.

Adding to 105190 its reverse (91501), we get a palindrome (196691).

Subtracting from 105190 its reverse (91501), we obtain a square (13689 = 117²).

The spelling of 105190 in words is "one hundred five thousand, one hundred ninety".