106536 has 32 divisors (see below), whose sum is σ = 279360. Its totient is φ = 33792.

The previous prime is 106531. The next prime is 106537. The reversal of 106536 is 635601.

It is a super-2 number, since 2×106536² = 22699838592, which contains 22 as substring.

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

106536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (8730).

2¹⁰⁶⁵³⁶ 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 106536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139680).

106536 is an abundant number, since it is smaller than the sum of its proper divisors (172824).

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

106536 is a wasteful number, since it uses less digits than its factorization.

106536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106536 is about 326.3985294085. The cubic root of 106536 is about 47.4058708390.

The spelling of 106536 in words is "one hundred six thousand, five hundred thirty-six".