106388 has 6 divisors (see below), whose sum is σ = 186186. Its totient is φ = 53192.

The previous prime is 106373. The next prime is 106391. The reversal of 106388 is 883601.

106388 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 2704 = 322^2 + 52^2 .

It is a super-2 number, since 2×106388² = 22636813088, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106388.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13295 + ... + 13302.

It is an arithmetic number, because the mean of its divisors is an integer number (31031).

2¹⁰⁶³⁸⁸ is an apocalyptic number.

It is an amenable number.

106388 is a deficient number, since it is larger than the sum of its proper divisors (79798).

106388 is a wasteful number, since it uses less digits than its factorization.

106388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26601 (or 26599 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 106388 is about 326.1717339072. The cubic root of 106388 is about 47.3839085592.

Adding to 106388 its reverse (883601), we get a palindrome (989989).

It can be divided in two parts, 106 and 388, that added together give a palindrome (494).

The spelling of 106388 in words is "one hundred six thousand, three hundred eighty-eight".