106288 has 40 divisors (see below), whose sum is σ = 256928. Its totient is φ = 41472.

The previous prime is 106279. The next prime is 106291. The reversal of 106288 is 882601.

106288 is nontrivially palindromic in base 3.

106288 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×106288² = 22594277888, which contains 22 as substring.

106288 is an undulating number in base 9.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1420 + ... + 1492.

2¹⁰⁶²⁸⁸ 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 106288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128464).

106288 is an abundant number, since it is smaller than the sum of its proper divisors (150640).

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

106288 is a wasteful number, since it uses less digits than its factorization.

106288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 106288 is about 326.0184043885. The cubic root of 106288 is about 47.3690576479.

Adding to 106288 its reverse (882601), we get a palindrome (988889).

The spelling of 106288 in words is "one hundred six thousand, two hundred eighty-eight".