105303300 has 36 divisors (see below), whose sum is σ = 304678416. Its totient is φ = 28080800.

The previous prime is 105303281. The next prime is 105303329. The reversal of 105303300 is 3303501.

It is a super-2 number, since 2×105303300² = 22177569981780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105303300.

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, 175206 + ... + 175805.

Almost surely, 2^105303300 is an apocalyptic number.

105303300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105303300 is an abundant number, since it is smaller than the sum of its proper divisors (199375116).

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

105303300 is a wasteful number, since it uses less digits than its factorization.

105303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351028 (or 351021 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 105303300 is about 10261.7396186027. The cubic root of 105303300 is about 472.2232078923.

Adding to 105303300 its reverse (3303501), we get a palindrome (108606801).

The spelling of 105303300 in words is "one hundred five million, three hundred three thousand, three hundred".