105156 has 36 divisors (see below), whose sum is σ = 279552. Its totient is φ = 33264.

The previous prime is 105143. The next prime is 105167. The reversal of 105156 is 651501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105156² = 22115568672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765 + ... + 891.

2¹⁰⁵¹⁵⁶ 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 105156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776).

105156 is an abundant number, since it is smaller than the sum of its proper divisors (174396).

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

105156 is a wasteful number, since it uses less digits than its factorization.

105156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105156 is about 324.2776588049. The cubic root of 105156 is about 47.2002920599.

Adding to 105156 its reverse (651501), we get a palindrome (756657).

The spelling of 105156 in words is "one hundred five thousand, one hundred fifty-six".