108100728 has 72 divisors (see below), whose sum is σ = 309067200. Its totient is φ = 34128864.

The previous prime is 108100721. The next prime is 108100757. The reversal of 108100728 is 827001801.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108100721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23913 + ... + 28071.

It is an arithmetic number, because the mean of its divisors is an integer number (4292600).

Almost surely, 2^108100728 is an apocalyptic number.

108100728 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 108100728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154533600).

108100728 is an abundant number, since it is smaller than the sum of its proper divisors (200966472).

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

108100728 is a wasteful number, since it uses less digits than its factorization.

108100728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 108100728 is about 10397.1499941090. The cubic root of 108100728 is about 476.3683211915.

The spelling of 108100728 in words is "one hundred eight million, one hundred thousand, seven hundred twenty-eight".