42952100 has 18 divisors (see below), whose sum is σ = 93206274. Its totient is φ = 17180800.

The previous prime is 42952097. The next prime is 42952123. The reversal of 42952100 is 125924.

42952100 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 128164 + 42823936 = 358^2 + 6544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214661 + ... + 214860.

Almost surely, 2^42952100 is an apocalyptic number.

It is an amenable number.

42952100 is an abundant number, since it is smaller than the sum of its proper divisors (50254174).

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

42952100 is a wasteful number, since it uses less digits than its factorization.

42952100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429535 (or 429528 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 42952100 is about 6553.7851658412. The cubic root of 42952100 is about 350.2096702886.

The spelling of 42952100 in words is "forty-two million, nine hundred fifty-two thousand, one hundred".