105680010 has 16 divisors (see below), whose sum is σ = 253632096. Its totient is φ = 28181328.

The previous prime is 105679979. The next prime is 105680011. The reversal of 105680010 is 10086501.

It is a super-2 number, since 2×105680010² = 22336529027200200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105680011) 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 7 ways as a sum of consecutive naturals, for example, 1761304 + ... + 1761363.

It is an arithmetic number, because the mean of its divisors is an integer number (15852006).

Almost surely, 2^105680010 is an apocalyptic number.

105680010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105680010 is an abundant number, since it is smaller than the sum of its proper divisors (147952086).

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

105680010 is a wasteful number, since it uses less digits than its factorization.

105680010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522677.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105680010 is about 10280.0783070947. The cubic root of 105680010 is about 472.7856451475.

The spelling of 105680010 in words is "one hundred five million, six hundred eighty thousand, ten".