106537328 has 40 divisors (see below), whose sum is σ = 214033920. Its totient is φ = 51318720.

The previous prime is 106537309. The next prime is 106537337. The reversal of 106537328 is 823735601.

It is a super-3 number, since 3×106537328³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171803 + ... + 172421.

It is an arithmetic number, because the mean of its divisors is an integer number (5350848).

Almost surely, 2^106537328 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 106537328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107016960).

106537328 is an abundant number, since it is smaller than the sum of its proper divisors (107496592).

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

106537328 is a wasteful number, since it uses less digits than its factorization.

106537328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 106537328 is about 10321.6921093394. The cubic root of 106537328 is about 474.0606781383.

The spelling of 106537328 in words is "one hundred six million, five hundred thirty-seven thousand, three hundred twenty-eight".