42803472100 has 81 divisors (see below), whose sum is σ = 98749810033. Its totient is φ = 16101007360.

The previous prime is 42803472071. The next prime is 42803472139. The reversal of 42803472100 is 127430824.

The square root of 42803472100 is 206890.

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

It can be written as a sum of positive squares in 13 ways, for example, as 22000602276 + 20802869824 = 148326^2 + 144232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35170692 + ... + 35171908.

Almost surely, 2^42803472100 is an apocalyptic number.

42803472100 is the 206890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42803472100

42803472100 is an abundant number, since it is smaller than the sum of its proper divisors (55946337933).

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

42803472100 is a wasteful number, since it uses less digits than its factorization.

42803472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 42803472100 in words is "forty-two billion, eight hundred three million, four hundred seventy-two thousand, one hundred".