106529824 has 48 divisors (see below), whose sum is σ = 215889408. Its totient is φ = 51720192.

The previous prime is 106529821. The next prime is 106529833. The reversal of 106529824 is 428925601.

It is a super-2 number, since 2×106529824² = 22697206802941952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106529821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290089 + ... + 290455.

It is an arithmetic number, because the mean of its divisors is an integer number (4497696).

Almost surely, 2^106529824 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 106529824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107944704).

106529824 is an abundant number, since it is smaller than the sum of its proper divisors (109359584).

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

106529824 is a wasteful number, since it uses less digits than its factorization.

106529824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 106529824 is about 10321.3285966488. The cubic root of 106529824 is about 474.0495476581.

The spelling of 106529824 in words is "one hundred six million, five hundred twenty-nine thousand, eight hundred twenty-four".