105936 has 20 divisors (see below), whose sum is σ = 273792. Its totient is φ = 35296.

The previous prime is 105929. The next prime is 105943. The reversal of 105936 is 639501.

It is an interprime number because it is at equal distance from previous prime (105929) and next prime (105943).

It is a super-2 number, since 2×105936² = 22444872192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

105936 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 3 ways as a sum of consecutive naturals, for example, 1056 + ... + 1151.

2¹⁰⁵⁹³⁶ is an apocalyptic number.

105936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105936 is an abundant number, since it is smaller than the sum of its proper divisors (167856).

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

105936 is a wasteful number, since it uses less digits than its factorization.

105936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 105936 is about 325.4781098630. The cubic root of 105936 is about 47.3167082172.

The spelling of 105936 in words is "one hundred five thousand, nine hundred thirty-six".