106533 has 24 divisors (see below), whose sum is σ = 187200. Its totient is φ = 57024.

The previous prime is 106531. The next prime is 106537. The reversal of 106533 is 335601.

106533 is a `hidden beast` number, since 10 + 653 + 3 = 666.

It is not a de Polignac number, because 106533 - 2¹ = 106531 is a prime.

It is a super-2 number, since 2×106533² = 22698560178, which contains 22 as substring.

It is a Curzon number.

106533 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2¹⁰⁶⁵³³ is an apocalyptic number.

It is an amenable number.

106533 is a deficient number, since it is larger than the sum of its proper divisors (80667).

106533 is a wasteful number, since it uses less digits than its factorization.

106533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 106533 is about 326.3939337672. The cubic root of 106533 is about 47.4054258597.

The spelling of 106533 in words is "one hundred six thousand, five hundred thirty-three".