42724906100 has 18 divisors (see below), whose sum is σ = 92713046454. Its totient is φ = 17089962400.

The previous prime is 42724906097. The next prime is 42724906123. The reversal of 42724906100 is 160942724.

42724906100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 56220004 + 42668686096 = 7498^2 + 206564^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213624431 + ... + 213624630.

It is an arithmetic number, because the mean of its divisors is an integer number (5150724803).

Almost surely, 2^42724906100 is an apocalyptic number.

It is an amenable number.

42724906100 is an abundant number, since it is smaller than the sum of its proper divisors (49988140354).

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

42724906100 is a wasteful number, since it uses less digits than its factorization.

42724906100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427249075 (or 427249068 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 42724906100 in words is "forty-two billion, seven hundred twenty-four million, nine hundred six thousand, one hundred".