161205105200 has 60 divisors (see below), whose sum is σ = 390122370600. Its totient is φ = 64011348480.

The previous prime is 161205105181. The next prime is 161205105203. The reversal of 161205105200 is 2501502161.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (161205105203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416050 + ... + 1525649.

It is an arithmetic number, because the mean of its divisors is an integer number (6502039510).

Almost surely, 2^161205105200 is an apocalyptic number.

161205105200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161205105200 is an abundant number, since it is smaller than the sum of its proper divisors (228917265400).

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

161205105200 is a wasteful number, since it uses less digits than its factorization.

161205105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941854 (or 2941843 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 161205105200 its reverse (2501502161), we get a palindrome (163706607361).

The spelling of 161205105200 in words is "one hundred sixty-one billion, two hundred five million, one hundred five thousand, two hundred".