105636 has 12 divisors (see below), whose sum is σ = 246512. Its totient is φ = 35208.

The previous prime is 105619. The next prime is 105649. The reversal of 105636 is 636501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105636² = 22317928992, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

105636 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, 4390 + ... + 4413.

2¹⁰⁵⁶³⁶ is an apocalyptic number.

It is an amenable number.

105636 is an abundant number, since it is smaller than the sum of its proper divisors (140876).

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

105636 is a wasteful number, since it uses less digits than its factorization.

105636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8810 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105636 is about 325.0169226363. The cubic root of 105636 is about 47.2720006164.

It can be divided in two parts, 105 and 636, that added together give a triangular number (741 = T₃₈).

The spelling of 105636 in words is "one hundred five thousand, six hundred thirty-six".