105528960 has 256 divisors, whose sum is σ = 387763200. Its totient is φ = 27095040.

The previous prime is 105528949. The next prime is 105528961. The reversal of 105528960 is 69825501.

It is a happy number.

105528960 is a `hidden beast` number, since 10 + 552 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×105528960² = 22272722797363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105528961) 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 31 ways as a sum of consecutive naturals, for example, 535582 + ... + 535778.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 2^105528960 is an apocalyptic number.

105528960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

105528960 is an abundant number, since it is smaller than the sum of its proper divisors (282234240).

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

105528960 is a wasteful number, since it uses less digits than its factorization.

105528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 105528960 is about 10272.7289460980. The cubic root of 105528960 is about 472.5602845732.

The spelling of 105528960 in words is "one hundred five million, five hundred twenty-eight thousand, nine hundred sixty".