100540242 has 24 divisors (see below), whose sum is σ = 237641040. Its totient is φ = 30466680.

The previous prime is 100540201. The next prime is 100540247. The reversal of 100540242 is 242045001.

100540242 is a `hidden beast` number, since 100 + 540 + 24 + 2 = 666.

It is a super-2 number, since 2×100540242² = 20216680522837128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100540247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253692 + ... + 254087.

It is an arithmetic number, because the mean of its divisors is an integer number (9901710).

Almost surely, 2^100540242 is an apocalyptic number.

100540242 is an abundant number, since it is smaller than the sum of its proper divisors (137100798).

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

100540242 is a wasteful number, since it uses less digits than its factorization.

100540242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507798 (or 507795 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 100540242 is about 10026.9757155386. The cubic root of 100540242 is about 464.9932430513.

Adding to 100540242 its reverse (242045001), we get a palindrome (342585243).

The spelling of 100540242 in words is "one hundred million, five hundred forty thousand, two hundred forty-two".