105563300 has 36 divisors (see below), whose sum is σ = 230204016. Its totient is φ = 42016800.

The previous prime is 105563291. The next prime is 105563317. The reversal of 105563300 is 3365501.

It is a super-2 number, since 2×105563300² = 22287220613780000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18599 + ... + 23601.

It is an arithmetic number, because the mean of its divisors is an integer number (6394556).

Almost surely, 2^105563300 is an apocalyptic number.

105563300 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 105563300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115102008).

105563300 is an abundant number, since it is smaller than the sum of its proper divisors (124640716).

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

105563300 is a wasteful number, since it uses less digits than its factorization.

105563300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 105563300 is about 10274.4002258039. The cubic root of 105563300 is about 472.6115373613.

The spelling of 105563300 in words is "one hundred five million, five hundred sixty-three thousand, three hundred".