10100008 has 16 divisors (see below), whose sum is σ = 18975060. Its totient is φ = 5040000.

The previous prime is 10099997. The next prime is 10100009. The reversal of 10100008 is 80000101.

It can be written as a sum of positive squares in 2 ways, for example, as 10099684 + 324 = 3178^2 + 18^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10099967 and 10100003.

It is not an unprimeable number, because it can be changed into a prime (10100009) 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, 4708 + ... + 6508.

Almost surely, 2^10100008 is an apocalyptic number.

It is an amenable number.

10100008 is a deficient number, since it is larger than the sum of its proper divisors (8875052).

10100008 is a wasteful number, since it uses less digits than its factorization.

10100008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 10100008 is about 3178.0509750474. The cubic root of 10100008 is about 216.1592903662.

Adding to 10100008 its reverse (80000101), we get a palindrome (90100109).

The spelling of 10100008 in words is "ten million, one hundred thousand, eight".