106524 has 36 divisors (see below), whose sum is σ = 294840. Its totient is φ = 32160.

The previous prime is 106501. The next prime is 106531. The reversal of 106524 is 425601.

It is a happy number.

106524 is a `hidden beast` number, since 10 + 652 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106524² = 22694725152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106497 and 106506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2¹⁰⁶⁵²⁴ 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 106524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

106524 is an abundant number, since it is smaller than the sum of its proper divisors (188316).

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

106524 is a wasteful number, since it uses less digits than its factorization.

106524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106524 is about 326.3801464550. The cubic root of 106524 is about 47.4040908716.

It can be divided in two parts, 1065 and 24, that added together give a square (1089 = 33²).

The spelling of 106524 in words is "one hundred six thousand, five hundred twenty-four".