105008008 has 16 divisors (see below), whose sum is σ = 225017280. Its totient is φ = 45003408.

The previous prime is 105007951. The next prime is 105008009. The reversal of 105008008 is 800800501.

It is a super-2 number, since 2×105008008² = 22053363488256128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105008008.

It is not an unprimeable number, because it can be changed into a prime (105008009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 937516 + ... + 937627.

It is an arithmetic number, because the mean of its divisors is an integer number (14063580).

Almost surely, 2^105008008 is an apocalyptic number.

It is an amenable number.

105008008 is an abundant number, since it is smaller than the sum of its proper divisors (120009272).

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

105008008 is a wasteful number, since it uses less digits than its factorization.

105008008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875156 (or 1875152 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 105008008 is about 10247.3415088988. The cubic root of 105008008 is about 471.7813911532.

Adding to 105008008 its reverse (800800501), we get a palindrome (905808509).

The spelling of 105008008 in words is "one hundred five million, eight thousand, eight".