106338 has 16 divisors (see below), whose sum is σ = 218880. Its totient is φ = 34416.

The previous prime is 106331. The next prime is 106349. The reversal of 106338 is 833601.

It is a super-2 number, since 2×106338² = 22615540488, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2¹⁰⁶³³⁸ is an apocalyptic number.

106338 is an abundant number, since it is smaller than the sum of its proper divisors (112542).

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

106338 is a wasteful number, since it uses less digits than its factorization.

106338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106338 is about 326.0950781597. The cubic root of 106338 is about 47.3764842674.

Adding to 106338 its reverse (833601), we get a palindrome (939939).

It can be divided in two parts, 106 and 338, that added together give a palindrome (444).

The spelling of 106338 in words is "one hundred six thousand, three hundred thirty-eight".