105103300 has 36 divisors (see below), whose sum is σ = 228524436. Its totient is φ = 41958400.

The previous prime is 105103253. The next prime is 105103301. The reversal of 105103300 is 3301501.

It can be written as a sum of positive squares in 6 ways, for example, as 9884736 + 95218564 = 3144^2 + 9758^2 .

It is a super-2 number, since 2×105103300² = 22093407341780000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105103301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87504 + ... + 88696.

It is an arithmetic number, because the mean of its divisors is an integer number (6347901).

Almost surely, 2^105103300 is an apocalyptic number.

105103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105103300 is an abundant number, since it is smaller than the sum of its proper divisors (123421136).

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

105103300 is a wasteful number, since it uses less digits than its factorization.

105103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 105103300 is about 10251.9900507170. The cubic root of 105103300 is about 471.9240577331.

Adding to 105103300 its reverse (3301501), we get a palindrome (108404801).

The spelling of 105103300 in words is "one hundred five million, one hundred three thousand, three hundred".