38106 has 24 divisors (see below), whose sum is σ = 86580. Its totient is φ = 12096.

The previous prime is 38083. The next prime is 38113. The reversal of 38106 is 60183.

38106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38025 + 81 = 195^2 + 9^2 .

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

It is a Curzon number.

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, 486 + ... + 558.

2³⁸¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43290).

38106 is an abundant number, since it is smaller than the sum of its proper divisors (48474).

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

38106 is a wasteful number, since it uses less digits than its factorization.

38106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 38106 is about 195.2075818200. The cubic root of 38106 is about 33.6509855193.

Adding to 38106 its reverse (60183), we get a palindrome (98289).

It can be divided in two parts, 38 and 106, that added together give a square (144 = 12²).

The spelling of 38106 in words is "thirty-eight thousand, one hundred six".