105945728 has 128 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 42172416.

The previous prime is 105945713. The next prime is 105945731. The reversal of 105945728 is 827549501.

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

It is a super-2 number, since 2×105945728² = 22448994562899968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092176 + ... + 1092272.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^105945728 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 105945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

105945728 is an abundant number, since it is smaller than the sum of its proper divisors (153150592).

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

105945728 is an equidigital number, since it uses as much as digits as its factorization.

105945728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 105945728 is about 10292.9941222173. The cubic root of 105945728 is about 473.1815652201.

The spelling of 105945728 in words is "one hundred five million, nine hundred forty-five thousand, seven hundred twenty-eight".