108930528 has 288 divisors, whose sum is σ = 386104320. Its totient is φ = 29756160.

The previous prime is 108930517. The next prime is 108930533. The reversal of 108930528 is 825039801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108930492 and 108930501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312375 + ... + 1312457.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^108930528 is an apocalyptic number.

108930528 is a gapful number since it is divisible by the number (18) 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 108930528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

108930528 is an abundant number, since it is smaller than the sum of its proper divisors (277173792).

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

108930528 is a wasteful number, since it uses less digits than its factorization.

108930528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 108930528 is about 10436.9788732181. The cubic root of 108930528 is about 477.5841109837.

The spelling of 108930528 in words is "one hundred eight million, nine hundred thirty thousand, five hundred twenty-eight".