105411200 has 48 divisors (see below), whose sum is σ = 260406510. Its totient is φ = 42163200.

The previous prime is 105411199. The next prime is 105411209. The reversal of 105411200 is 2114501.

It can be written as a sum of positive squares in 3 ways, for example, as 95726656 + 9684544 = 9784^2 + 3112^2 .

It is a super-2 number, since 2×105411200² = 22223042170880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105411209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13271 + ... + 19670.

Almost surely, 2^105411200 is an apocalyptic number.

105411200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105411200 is an abundant number, since it is smaller than the sum of its proper divisors (154995310).

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

105411200 is an equidigital number, since it uses as much as digits as its factorization.

105411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32965 (or 32948 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 105411200 is about 10266.9956657242. The cubic root of 105411200 is about 472.3844421269.

Adding to 105411200 its reverse (2114501), we get a palindrome (107525701).

The spelling of 105411200 in words is "one hundred five million, four hundred eleven thousand, two hundred".