105596 has 6 divisors (see below), whose sum is σ = 184800. Its totient is φ = 52796.

The previous prime is 105563. The next prime is 105601. The reversal of 105596 is 695501.

It is a super-2 number, since 2×105596² = 22301030432, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13196 + ... + 13203.

It is an arithmetic number, because the mean of its divisors is an integer number (30800).

2¹⁰⁵⁵⁹⁶ is an apocalyptic number.

It is an amenable number.

105596 is a deficient number, since it is larger than the sum of its proper divisors (79204).

105596 is a wasteful number, since it uses less digits than its factorization.

105596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26403 (or 26401 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 105596 is about 324.9553815526. The cubic root of 105596 is about 47.2660332103.

Subtracting from 105596 its sum of digits (26), we obtain a triangular number (105570 = T₄₅₉).

The spelling of 105596 in words is "one hundred five thousand, five hundred ninety-six".