106314 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 30912.

The previous prime is 106307. The next prime is 106319. The reversal of 106314 is 413601.

It is a super-2 number, since 2×106314² = 22605333192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106293 and 106302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106314.

It is not an unprimeable number, because it can be changed into a prime (106319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹⁰⁶³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

106314 is an abundant number, since it is smaller than the sum of its proper divisors (135606).

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

106314 is a wasteful number, since it uses less digits than its factorization.

106314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106314 is about 326.0582769997. The cubic root of 106314 is about 47.3729197807.

Adding to 106314 its reverse (413601), we get a palindrome (519915).

It can be divided in two parts, 10631 and 4, that multiplied together give a palindrome (42524).

The spelling of 106314 in words is "one hundred six thousand, three hundred fourteen".