10205172208 has 80 divisors (see below), whose sum is σ = 24696919296. Its totient is φ = 3968709120.

The previous prime is 10205172113. The next prime is 10205172223. The reversal of 10205172208 is 80227150201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686260 + ... + 700972.

Almost surely, 2^10205172208 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 10205172208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348459648).

10205172208 is an abundant number, since it is smaller than the sum of its proper divisors (14491747088).

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

10205172208 is a wasteful number, since it uses less digits than its factorization.

10205172208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15302 (or 15296 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The spelling of 10205172208 in words is "ten billion, two hundred five million, one hundred seventy-two thousand, two hundred eight".