105564300 has 72 divisors (see below), whose sum is σ = 315313152. Its totient is φ = 27240000.

The previous prime is 105564289. The next prime is 105564301. The reversal of 105564300 is 3465501.

It is a super-2 number, since 2×105564300² = 22287642868980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105564301) 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 23 ways as a sum of consecutive naturals, for example, 3625 + ... + 14975.

Almost surely, 2^105564300 is an apocalyptic number.

105564300 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 105564300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157656576).

105564300 is an abundant number, since it is smaller than the sum of its proper divisors (209748852).

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

105564300 is a wasteful number, since it uses less digits than its factorization.

105564300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11399 (or 11392 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105564300 is about 10274.4488903298. The cubic root of 105564300 is about 472.6130297046.

The spelling of 105564300 in words is "one hundred five million, five hundred sixty-four thousand, three hundred".