242805100 has 72 divisors (see below), whose sum is σ = 546215040. Its totient is φ = 93611520.

The previous prime is 242805091. The next prime is 242805107. The reversal of 242805100 is 1508242.

It is not an unprimeable number, because it can be changed into a prime (242805107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506661 + ... + 507139.

It is an arithmetic number, because the mean of its divisors is an integer number (7586320).

Almost surely, 2^242805100 is an apocalyptic number.

242805100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242805100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273107520).

242805100 is an abundant number, since it is smaller than the sum of its proper divisors (303409940).

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

242805100 is a wasteful number, since it uses less digits than its factorization.

242805100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 242805100 is about 15582.2045937024. The cubic root of 242805100 is about 623.8582675854.

The spelling of 242805100 in words is "two hundred forty-two million, eight hundred five thousand, one hundred".