105315200 has 48 divisors (see below), whose sum is σ = 260169360. Its totient is φ = 42124800.

The previous prime is 105315191. The next prime is 105315227. The reversal of 105315200 is 2513501.

It is a super-2 number, since 2×105315200² = 22182582702080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13256 + ... + 19655.

It is an arithmetic number, because the mean of its divisors is an integer number (5420195).

Almost surely, 2^105315200 is an apocalyptic number.

105315200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105315200 is an abundant number, since it is smaller than the sum of its proper divisors (154854160).

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

105315200 is an equidigital number, since it uses as much as digits as its factorization.

105315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32935 (or 32918 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105315200 is about 10262.3194259388. The cubic root of 105315200 is about 472.2409953834.

Adding to 105315200 its reverse (2513501), we get a palindrome (107828701).

The spelling of 105315200 in words is "one hundred five million, three hundred fifteen thousand, two hundred".