242400100 has 36 divisors (see below), whose sum is σ = 553697200. Its totient is φ = 91856160.

The previous prime is 242400083. The next prime is 242400121. The reversal of 242400100 is 1004242.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61890 + ... + 65689.

Almost surely, 2^242400100 is an apocalyptic number.

242400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242400100 is an abundant number, since it is smaller than the sum of its proper divisors (311297100).

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

242400100 is a wasteful number, since it uses less digits than its factorization.

242400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127612 (or 127605 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 242400100 is about 15569.2035762912. The cubic root of 242400100 is about 623.5112084153.

Adding to 242400100 its reverse (1004242), we get a palindrome (243404342).

The spelling of 242400100 in words is "two hundred forty-two million, four hundred thousand, one hundred".