105868096 has 28 divisors (see below), whose sum is σ = 217330020. Its totient is φ = 51107840.

The previous prime is 105868093. The next prime is 105868097. The reversal of 105868096 is 690868501.

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 57760000 = 6936^2 + 7600^2 .

It is a super-2 number, since 2×105868096² = 22416107501330432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105868093) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 26665 + ... + 30376.

Almost surely, 2^105868096 is an apocalyptic number.

105868096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105868096 is an abundant number, since it is smaller than the sum of its proper divisors (111461924).

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

105868096 is an equidigital number, since it uses as much as digits as its factorization.

105868096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57082 (or 57072 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 105868096 is about 10289.2223224110. Note that the first 3 decimals coincide. The cubic root of 105868096 is about 473.0659619833.

The spelling of 105868096 in words is "one hundred five million, eight hundred sixty-eight thousand, ninety-six".