61305760100 has 72 divisors (see below), whose sum is σ = 144313008168. Its totient is φ = 22470681600.

The previous prime is 61305760099. The next prime is 61305760123. The reversal of 61305760100 is 106750316.

It can be written as a sum of positive squares in 12 ways, for example, as 15799484416 + 45506275684 = 125696^2 + 213322^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5990 + ... + 350210.

Almost surely, 2^61305760100 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 61305760100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72156504084).

61305760100 is an abundant number, since it is smaller than the sum of its proper divisors (83007248068).

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

61305760100 is a wasteful number, since it uses less digits than its factorization.

61305760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344385 (or 344378 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The spelling of 61305760100 in words is "sixty-one billion, three hundred five million, seven hundred sixty thousand, one hundred".