100242424240 has 120 divisors (see below), whose sum is σ = 271226301120. Its totient is φ = 34354704384.

The previous prime is 100242424211. The next prime is 100242424277. The reversal of 100242424240 is 42424242001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14982816 + ... + 14989504.

It is an arithmetic number, because the mean of its divisors is an integer number (2260219176).

Almost surely, 2^100242424240 is an apocalyptic number.

100242424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100242424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135613150560).

100242424240 is an abundant number, since it is smaller than the sum of its proper divisors (170983876880).

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

100242424240 is a wasteful number, since it uses less digits than its factorization.

100242424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10539 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 100242424240 its reverse (42424242001), we get a palindrome (142666666241).

The spelling of 100242424240 in words is "one hundred billion, two hundred forty-two million, four hundred twenty-four thousand, two hundred forty".