105005200 has 30 divisors (see below), whose sum is σ = 252275954. Its totient is φ = 42001920.

The previous prime is 105005177. The next prime is 105005207. The reversal of 105005200 is 2500501.

It can be written as a sum of positive squares in 3 ways, for example, as 13075456 + 91929744 = 3616^2 + 9588^2 .

It is a super-2 number, since 2×105005200² = 22052184054080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130857 + ... + 131656.

Almost surely, 2^105005200 is an apocalyptic number.

105005200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005200 is an abundant number, since it is smaller than the sum of its proper divisors (147270754).

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

105005200 is a wasteful number, since it uses less digits than its factorization.

105005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262531 (or 262520 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 105005200 is about 10247.2044968372. The cubic root of 105005200 is about 471.7771858424. Note that the first 3 decimals are identical.

Adding to 105005200 its reverse (2500501), we get a palindrome (107505701).

The spelling of 105005200 in words is "one hundred five million, five thousand, two hundred".