242100168 has 32 divisors (see below), whose sum is σ = 607620960. Its totient is φ = 80384000.

The previous prime is 242100167. The next prime is 242100197. The reversal of 242100168 is 861001242.

It is a super-2 number, since 2×242100168² = 117224982691256448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (242100163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13458 + ... + 25793.

It is an arithmetic number, because the mean of its divisors is an integer number (18988155).

Almost surely, 2^242100168 is an apocalyptic number.

It is an amenable number.

242100168 is an abundant number, since it is smaller than the sum of its proper divisors (365520792).

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

242100168 is a wasteful number, since it uses less digits than its factorization.

242100168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39517 (or 39513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 242100168 is about 15559.5683744762. The cubic root of 242100168 is about 623.2539365893.

The spelling of 242100168 in words is "two hundred forty-two million, one hundred thousand, one hundred sixty-eight".