105680200 has 24 divisors (see below), whose sum is σ = 245706930. Its totient is φ = 42272000.

The previous prime is 105680191. The next prime is 105680203. The reversal of 105680200 is 2086501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 100120036 + 5560164 = 10006^2 + 2358^2 .

It is a super-2 number, since 2×105680200² = 22336609344080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105680203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 264001 + ... + 264400.

Almost surely, 2^105680200 is an apocalyptic number.

105680200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105680200 is an abundant number, since it is smaller than the sum of its proper divisors (140026730).

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

105680200 is a wasteful number, since it uses less digits than its factorization.

105680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528417 (or 528408 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105680200 is about 10280.0875482653. The cubic root of 105680200 is about 472.7859284847.

The spelling of 105680200 in words is "one hundred five million, six hundred eighty thousand, two hundred".