242557106 has 24 divisors (see below), whose sum is σ = 403661232. Its totient is φ = 108409200.

The previous prime is 242557093. The next prime is 242557121. The reversal of 242557106 is 601755242.

242557106 = 1964² + 1965² + ... + 2024².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80381 + ... + 83343.

It is an arithmetic number, because the mean of its divisors is an integer number (16819218).

Almost surely, 2^242557106 is an apocalyptic number.

242557106 is a deficient number, since it is larger than the sum of its proper divisors (161104126).

242557106 is a wasteful number, since it uses less digits than its factorization.

242557106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 242557106 is about 15574.2449576215. The cubic root of 242557106 is about 623.6457983933.

The spelling of 242557106 in words is "two hundred forty-two million, five hundred fifty-seven thousand, one hundred six".