109921728 has 168 divisors, whose sum is σ = 354332032. Its totient is φ = 29454336.

The previous prime is 109921723. The next prime is 109921751. The reversal of 109921728 is 827129901.

109921728 = T₃₀₇ + T₃₀₈ + ... + T₈₈₂.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109921723) 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 23 ways as a sum of consecutive naturals, for example, 388275 + ... + 388557.

Almost surely, 2^109921728 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 109921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177166016).

109921728 is an abundant number, since it is smaller than the sum of its proper divisors (244410304).

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

109921728 is a wasteful number, since it uses less digits than its factorization.

109921728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 109921728 is about 10484.3563464812. The cubic root of 109921728 is about 479.0283120688.

It can be divided in two parts, 10992 and 1728, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 109921728 in words is "one hundred nine million, nine hundred twenty-one thousand, seven hundred twenty-eight".