10205107660 has 24 divisors (see below), whose sum is σ = 23378974416. Its totient is φ = 3710948160.

The previous prime is 10205107579. The next prime is 10205107663. The reversal of 10205107660 is 6670150201.

It is not an unprimeable number, because it can be changed into a prime (10205107663) 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, 23193207 + ... + 23193646.

It is an arithmetic number, because the mean of its divisors is an integer number (974123934).

Almost surely, 2^10205107660 is an apocalyptic number.

10205107660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205107660 is an abundant number, since it is smaller than the sum of its proper divisors (13173866756).

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

10205107660 is a wasteful number, since it uses less digits than its factorization.

10205107660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46386873 (or 46386871 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 10205107660 its reverse (6670150201), we get a palindrome (16875257861).

The spelling of 10205107660 in words is "ten billion, two hundred five million, one hundred seven thousand, six hundred sixty".