242106165 has 160 divisors (see below), whose sum is σ = 535265280. Its totient is φ = 102301056.

The previous prime is 242106157. The next prime is 242106203. The reversal of 242106165 is 561601242.

242106165 is a `hidden beast` number, since 2 + 42 + 1 + 0 + 616 + 5 = 666.

It is not a de Polignac number, because 242106165 - 2³ = 242106157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3064596 + ... + 3064674.

It is an arithmetic number, because the mean of its divisors is an integer number (3345408).

Almost surely, 2^242106165 is an apocalyptic number.

It is an amenable number.

242106165 is an abundant number, since it is smaller than the sum of its proper divisors (293159115).

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

242106165 is a wasteful number, since it uses less digits than its factorization.

242106165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 242106165 is about 15559.7610842840. The cubic root of 242106165 is about 623.2590827003.

The spelling of 242106165 in words is "two hundred forty-two million, one hundred six thousand, one hundred sixty-five".