106389 has 6 divisors (see below), whose sum is σ = 153686. Its totient is φ = 70920.

The previous prime is 106373. The next prime is 106391. The reversal of 106389 is 983601.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 33489 = 270^2 + 183^2 .

It is not a de Polignac number, because 106389 - 2⁴ = 106373 is a prime.

It is a super-2 number, since 2×106389² = 22637238642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5902 + ... + 5919.

2¹⁰⁶³⁸⁹ is an apocalyptic number.

It is an amenable number.

106389 is a deficient number, since it is larger than the sum of its proper divisors (47297).

106389 is a wasteful number, since it uses less digits than its factorization.

106389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11827 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106389 is about 326.1732668383. The cubic root of 106389 is about 47.3840570213.

The spelling of 106389 in words is "one hundred six thousand, three hundred eighty-nine".