106056 has 32 divisors (see below), whose sum is σ = 295200. Its totient is φ = 35280.

The previous prime is 106033. The next prime is 106087. The reversal of 106056 is 650601.

106056 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×106056² = 22495750272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

2¹⁰⁶⁰⁵⁶ 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 106056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147600).

106056 is an abundant number, since it is smaller than the sum of its proper divisors (189144).

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

106056 is a wasteful number, since it uses less digits than its factorization.

106056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106056 is about 325.6624018827. The cubic root of 106056 is about 47.3345676241.

Adding to 106056 its reverse (650601), we get a palindrome (756657).

The spelling of 106056 in words is "one hundred six thousand, fifty-six".