106533520 has 40 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 42326400.

The previous prime is 106533517. The next prime is 106533521. The reversal of 106533520 is 25335601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106533520² = 22698781767180800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106533521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7671 + ... + 16489.

It is an arithmetic number, because the mean of its divisors is an integer number (6233976).

Almost surely, 2^106533520 is an apocalyptic number.

106533520 is a gapful number since it is divisible by the number (10) 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 106533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

106533520 is an abundant number, since it is smaller than the sum of its proper divisors (142825520).

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

106533520 is a wasteful number, since it uses less digits than its factorization.

106533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 106533520 is about 10321.5076418128. The cubic root of 106533520 is about 474.0550299002.

The spelling of 106533520 in words is "one hundred six million, five hundred thirty-three thousand, five hundred twenty".