106308 has 18 divisors (see below), whose sum is σ = 268814. Its totient is φ = 35424.

The previous prime is 106307. The next prime is 106319. The reversal of 106308 is 803601.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 5184 = 318^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106308² = 22602781728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1441 + ... + 1512.

2¹⁰⁶³⁰⁸ is an apocalyptic number.

106308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106308 is an abundant number, since it is smaller than the sum of its proper divisors (162506).

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

106308 is a wasteful number, since it uses less digits than its factorization.

106308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2958 counting only the distinct ones).

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

The square root of 106308 is about 326.0490760606. The cubic root of 106308 is about 47.3720285752.

Adding to 106308 its reverse (803601), we get a palindrome (909909).

It can be divided in two parts, 106 and 308, that added together give a palindrome (414).

The spelling of 106308 in words is "one hundred six thousand, three hundred eight".