105680008 has 16 divisors (see below), whose sum is σ = 226457280. Its totient is φ = 45291408.

The previous prime is 105679979. The next prime is 105680011. The reversal of 105680008 is 800086501.

It is a happy number.

It is a super-2 number, since 2×105680008² = 22336528181760128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 943516 + ... + 943627.

It is an arithmetic number, because the mean of its divisors is an integer number (14153580).

Almost surely, 2^105680008 is an apocalyptic number.

It is an amenable number.

105680008 is an abundant number, since it is smaller than the sum of its proper divisors (120777272).

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

105680008 is a wasteful number, since it uses less digits than its factorization.

105680008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887156 (or 1887152 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 105680008 is about 10280.0782098192. The cubic root of 105680008 is about 472.7856421650.

It can be divided in two parts, 1056 and 80008, that multiplied together give a palindrome (84488448).

The spelling of 105680008 in words is "one hundred five million, six hundred eighty thousand, eight".