42756200100 has 108 divisors (see below), whose sum is σ = 134757872340. Its totient is φ = 11338617600.

The previous prime is 42756200077. The next prime is 42756200131. The reversal of 42756200100 is 100265724.

42756200100 is a `hidden beast` number, since 4 + 27 + 5 + 620 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22420869696 + 20335330404 = 149736^2 + 142602^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31666 + ... + 294134.

Almost surely, 2^42756200100 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 42756200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67378936170).

42756200100 is an abundant number, since it is smaller than the sum of its proper divisors (92001672240).

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

42756200100 is a wasteful number, since it uses less digits than its factorization.

42756200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262670 (or 262660 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 42756200100 its reverse (100265724), we get a palindrome (42856465824).

The spelling of 42756200100 in words is "forty-two billion, seven hundred fifty-six million, two hundred thousand, one hundred".