10008170200 has 384 divisors, whose sum is σ = 29569536000. Its totient is φ = 3073075200.

The previous prime is 10008170191. The next prime is 10008170243. The reversal of 10008170200 is 207180001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43703686 + ... + 43703914.

It is an arithmetic number, because the mean of its divisors is an integer number (77004000).

Almost surely, 2^10008170200 is an apocalyptic number.

10008170200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008170200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784768000).

10008170200 is an abundant number, since it is smaller than the sum of its proper divisors (19561365800).

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

10008170200 is a wasteful number, since it uses less digits than its factorization.

10008170200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The spelling of 10008170200 in words is "ten billion, eight million, one hundred seventy thousand, two hundred".