105305928 has 96 divisors (see below), whose sum is σ = 325886400. Its totient is φ = 27765504.

The previous prime is 105305927. The next prime is 105305929. The reversal of 105305928 is 829503501.

It is an interprime number because it is at equal distance from previous prime (105305927) and next prime (105305929).

It is a super-2 number, since 2×105305928² = 22178676943882368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105305927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26538 + ... + 30246.

It is an arithmetic number, because the mean of its divisors is an integer number (3394650).

Almost surely, 2^105305928 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 105305928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162943200).

105305928 is an abundant number, since it is smaller than the sum of its proper divisors (220580472).

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

105305928 is a wasteful number, since it uses less digits than its factorization.

105305928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 105305928 is about 10261.8676662682. The cubic root of 105305928 is about 472.2271362031.

The spelling of 105305928 in words is "one hundred five million, three hundred five thousand, nine hundred twenty-eight".