242708100 has 72 divisors (see below), whose sum is σ = 708892128. Its totient is φ = 64108800.

The previous prime is 242708051. The next prime is 242708107. The reversal of 242708100 is 1807242.

It is a super-2 number, since 2×242708100² = 117814443611220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242708107) 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, 28320 + ... + 35880.

It is an arithmetic number, because the mean of its divisors is an integer number (9845724).

Almost surely, 2^242708100 is an apocalyptic number.

242708100 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 242708100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354446064).

242708100 is an abundant number, since it is smaller than the sum of its proper divisors (466184028).

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

242708100 is a wasteful number, since it uses less digits than its factorization.

242708100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7685 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 242708100 is about 15579.0917578657. The cubic root of 242708100 is about 623.7751799399.

The spelling of 242708100 in words is "two hundred forty-two million, seven hundred eight thousand, one hundred".