105433728 has 128 divisors (see below), whose sum is σ = 306685440. Its totient is φ = 31948800.

The previous prime is 105433723. The next prime is 105433733. The reversal of 105433728 is 827334501.

It is an interprime number because it is at equal distance from previous prime (105433723) and next prime (105433733).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105433728² = 22232541999955968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105433723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202108 + ... + 202628.

It is an arithmetic number, because the mean of its divisors is an integer number (2395980).

Almost surely, 2^105433728 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 105433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153342720).

105433728 is an abundant number, since it is smaller than the sum of its proper divisors (201251712).

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

105433728 is a wasteful number, since it uses less digits than its factorization.

105433728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 105433728 is about 10268.0927148132. The cubic root of 105433728 is about 472.4180916780.

The spelling of 105433728 in words is "one hundred five million, four hundred thirty-three thousand, seven hundred twenty-eight".