106624 has 48 divisors (see below), whose sum is σ = 261630. Its totient is φ = 43008.

The previous prime is 106621. The next prime is 106627. The reversal of 106624 is 426601.

It is an interprime number because it is at equal distance from previous prime (106621) and next prime (106627).

It can be written as a sum of positive squares in only one way, i.e., 78400 + 28224 = 280^2 + 168^2 .

It is a super-2 number, since 2×106624² = 22737354752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106621) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6264 + ... + 6280.

2¹⁰⁶⁶²⁴ is an apocalyptic number.

106624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130815).

106624 is an abundant number, since it is smaller than the sum of its proper divisors (155006).

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

106624 is an equidigital number, since it uses as much as digits as its factorization.

106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 106624 is about 326.5333061113. The cubic root of 106624 is about 47.4189198507.

The spelling of 106624 in words is "one hundred six thousand, six hundred twenty-four".