105543564 has 96 divisors (see below), whose sum is σ = 290497536. Its totient is φ = 29203200.

The previous prime is 105543563. The next prime is 105543569. The reversal of 105543564 is 465345501.

It is a super-2 number, since 2×105543564² = 22278887803644192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105543563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672174 + ... + 672330.

It is an arithmetic number, because the mean of its divisors is an integer number (3026016).

Almost surely, 2^105543564 is an apocalyptic number.

105543564 is a gapful number since it is divisible by the number (14) 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 105543564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145248768).

105543564 is an abundant number, since it is smaller than the sum of its proper divisors (184953972).

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

105543564 is a wasteful number, since it uses less digits than its factorization.

105543564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 105543564 is about 10273.4397355511. The cubic root of 105543564 is about 472.5820825456.

The spelling of 105543564 in words is "one hundred five million, five hundred forty-three thousand, five hundred sixty-four".