106386 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 28416.

The previous prime is 106373. The next prime is 106391. The reversal of 106386 is 683601.

It is a super-2 number, since 2×106386² = 22635961992, which contains 22 as substring.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹⁰⁶³⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

106386 is an abundant number, since it is smaller than the sum of its proper divisors (152814).

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

106386 is a wasteful number, since it uses less digits than its factorization.

106386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106386 is about 326.1686680232. The cubic root of 106386 is about 47.3836116322.

Adding to 106386 its reverse (683601), we get a palindrome (789987).

The spelling of 106386 in words is "one hundred six thousand, three hundred eighty-six".