105196 has 36 divisors (see below), whose sum is σ = 240688. Its totient is φ = 39168.

The previous prime is 105173. The next prime is 105199. The reversal of 105196 is 691501.

It is a super-2 number, since 2×105196² = 22132396832, which contains 22 as substring.

It is an Ulam number.

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

105196 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 11 ways as a sum of consecutive naturals, for example, 6180 + ... + 6196.

2¹⁰⁵¹⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120344).

105196 is an abundant number, since it is smaller than the sum of its proper divisors (135492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105196 is a wasteful number, since it uses less digits than its factorization.

105196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 105196 is about 324.3393284818. The cubic root of 105196 is about 47.2062760974.

Adding to 105196 its reverse (691501), we get a palindrome (796697).

The spelling of 105196 in words is "one hundred five thousand, one hundred ninety-six".