100000100008 has 32 divisors (see below), whose sum is σ = 199024805160. Its totient is φ = 46941491200.

The previous prime is 100000099963. The next prime is 100000100009. The reversal of 100000100008 is 800001000001.

It can be written as a sum of positive squares in 4 ways, for example, as 91810212004 + 8189888004 = 303002^2 + 90498^2 .

It is a super-2 number, since 2×100000100008² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100000099967 and 100000100003.

It is not an unprimeable number, because it can be changed into a prime (100000100009) 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, 862291 + ... + 971362.

Almost surely, 2^100000100008 is an apocalyptic number.

It is an amenable number.

100000100008 is a deficient number, since it is larger than the sum of its proper divisors (99024705152).

100000100008 is a wasteful number, since it uses less digits than its factorization.

100000100008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834077 (or 1834073 counting only the distinct ones).

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

Adding to 100000100008 its reverse (800001000001), we get a palindrome (900001100009).

The spelling of 100000100008 in words is "one hundred billion, one hundred thousand, eight".