105996 has 36 divisors (see below), whose sum is σ = 275576. Its totient is φ = 31680.

The previous prime is 105983. The next prime is 105997. The reversal of 105996 is 699501.

It is a super-2 number, since 2×105996² = 22470304032, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416 + ... + 1488.

2¹⁰⁵⁹⁹⁶ 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 105996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137788).

105996 is an abundant number, since it is smaller than the sum of its proper divisors (169580).

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

105996 is a wasteful number, since it uses less digits than its factorization.

105996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 105996 is about 325.5702689129. The cubic root of 105996 is about 47.3256396056.

Subtracting 105996 from its reverse (699501), we obtain a triangular number (593505 = T₁₀₈₉).

It can be divided in two parts, 10 and 5996, that added together give a palindrome (6006).

The spelling of 105996 in words is "one hundred five thousand, nine hundred ninety-six".