42100268 has 48 divisors (see below), whose sum is σ = 87521280. Its totient is φ = 17345664.

The previous prime is 42100249. The next prime is 42100273. The reversal of 42100268 is 86200124.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87653 + ... + 88131.

It is an arithmetic number, because the mean of its divisors is an integer number (1823360).

Almost surely, 2^42100268 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 42100268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43760640).

42100268 is an abundant number, since it is smaller than the sum of its proper divisors (45421012).

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

42100268 is a wasteful number, since it uses less digits than its factorization.

42100268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 42100268 is about 6488.4719310482. The cubic root of 42100268 is about 347.8790591324.

The spelling of 42100268 in words is "forty-two million, one hundred thousand, two hundred sixty-eight".