100101008 has 40 divisors (see below), whose sum is σ = 227068800. Its totient is φ = 41852160.

The previous prime is 100101007. The next prime is 100101013. The reversal of 100101008 is 800101001.

It is a self number, because there is not a number n which added to its sum of digits gives 100101008.

It is not an unprimeable number, because it can be changed into a prime (100101007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6308 + ... + 15491.

It is an arithmetic number, because the mean of its divisors is an integer number (5676720).

Almost surely, 2^100101008 is an apocalyptic number.

It is an amenable number.

100101008 is an abundant number, since it is smaller than the sum of its proper divisors (126967792).

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

100101008 is a wasteful number, since it uses less digits than its factorization.

100101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21855 (or 21849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 100101008 is about 10005.0491253167. The cubic root of 100101008 is about 464.3151099743.

Adding to 100101008 its reverse (800101001), we get a palindrome (900202009).

The spelling of 100101008 in words is "one hundred million, one hundred one thousand, eight".