105928064 has 64 divisors (see below), whose sum is σ = 240295680. Its totient is φ = 46041600.

The previous prime is 105928063. The next prime is 105928103. The reversal of 105928064 is 460829501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105928064² = 22441509485576192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105928061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30749 + ... + 34019.

It is an arithmetic number, because the mean of its divisors is an integer number (3754620).

Almost surely, 2^105928064 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 105928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120147840).

105928064 is an abundant number, since it is smaller than the sum of its proper divisors (134367616).

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

105928064 is a wasteful number, since it uses less digits than its factorization.

105928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 105928064 is about 10292.1360270840. The cubic root of 105928064 is about 473.1552663974.

The spelling of 105928064 in words is "one hundred five million, nine hundred twenty-eight thousand, sixty-four".