106368 has 32 divisors (see below), whose sum is σ = 283560. Its totient is φ = 35328.

The previous prime is 106367. The next prime is 106373. The reversal of 106368 is 863601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106368² = 22628302848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246 + ... + 522.

2¹⁰⁶³⁶⁸ 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 106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141780).

106368 is an abundant number, since it is smaller than the sum of its proper divisors (177192).

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

106368 is an equidigital number, since it uses as much as digits as its factorization.

106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

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

The square root of 106368 is about 326.1410737702. The cubic root of 106368 is about 47.3809391217.

Adding to 106368 its reverse (863601), we get a palindrome (969969).

It can be divided in two parts, 106 and 368, that added together give a palindrome (474).

The spelling of 106368 in words is "one hundred six thousand, three hundred sixty-eight".