106528224 has 96 divisors (see below), whose sum is σ = 306996480. Its totient is φ = 32076800.

The previous prime is 106528199. The next prime is 106528267. The reversal of 106528224 is 422825601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×106528224⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106528191 and 106528200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296557 + ... + 296915.

It is an arithmetic number, because the mean of its divisors is an integer number (3197880).

Almost surely, 2^106528224 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 106528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153498240).

106528224 is an abundant number, since it is smaller than the sum of its proper divisors (200468256).

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

106528224 is a wasteful number, since it uses less digits than its factorization.

106528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 106528224 is about 10321.2510869565. The cubic root of 106528224 is about 474.0471743538.

The spelling of 106528224 in words is "one hundred six million, five hundred twenty-eight thousand, two hundred twenty-four".