42555564100 has 135 divisors (see below), whose sum is σ = 107986591671. Its totient is φ = 14555822400.

The previous prime is 42555564049. The next prime is 42555564173. The reversal of 42555564100 is 146555524.

The square root of 42555564100 is 206290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24371580996 + 18183983104 = 156114^2 + 134848^2 .

It is a super-3 number, since 3×42555564100³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42555564100.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 101081890 + ... + 101082310.

Almost surely, 2^42555564100 is an apocalyptic number.

42555564100 is the 206290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42555564100

42555564100 is an abundant number, since it is smaller than the sum of its proper divisors (65431027571).

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

42555564100 is an frugal number, since it uses more digits than its factorization.

42555564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The spelling of 42555564100 in words is "forty-two billion, five hundred fifty-five million, five hundred sixty-four thousand, one hundred".