105328900 has 36 divisors (see below), whose sum is σ = 229055652. Its totient is φ = 42040960.

The previous prime is 105328871. The next prime is 105328943. The reversal of 105328900 is 9823501.

It can be written as a sum of positive squares in 6 ways, for example, as 5008644 + 100320256 = 2238^2 + 10016^2 .

It is a super-2 number, since 2×105328900² = 22188354350420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64494 + ... + 66106.

It is an arithmetic number, because the mean of its divisors is an integer number (6362657).

Almost surely, 2^105328900 is an apocalyptic number.

105328900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105328900 is an abundant number, since it is smaller than the sum of its proper divisors (123726752).

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

105328900 is a wasteful number, since it uses less digits than its factorization.

105328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105328900 is about 10262.9868946618. The cubic root of 105328900 is about 472.2614717600.

The spelling of 105328900 in words is "one hundred five million, three hundred twenty-eight thousand, nine hundred".