210100008 has 64 divisors (see below), whose sum is σ = 557928000. Its totient is φ = 65702912.

The previous prime is 210099979. The next prime is 210100013. The reversal of 210100008 is 800001012.

It is a happy number.

210100008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210099966 and 210100002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170338 + ... + 171566.

It is an arithmetic number, because the mean of its divisors is an integer number (8717625).

Almost surely, 2^210100008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278964000).

210100008 is an abundant number, since it is smaller than the sum of its proper divisors (347827992).

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

210100008 is a wasteful number, since it uses less digits than its factorization.

210100008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 210100008 is about 14494.8269392911. The cubic root of 210100008 is about 594.4865358174.

The spelling of 210100008 in words is "two hundred ten million, one hundred thousand, eight".