100424320240100 has 144 divisors (see below), whose sum is σ = 239149957329360. Its totient is φ = 36447517900800.

The previous prime is 100424320240093. The next prime is 100424320240103. The reversal of 100424320240100 is 1042023424001.

It can be written as a sum of positive squares in 24 ways, for example, as 19857647140864 + 80566673099236 = 4456192^2 + 8975894^2 .

It is not an unprimeable number, because it can be changed into a prime (100424320240103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467621 + ... + 14179820.

It is an arithmetic number, because the mean of its divisors is an integer number (1660763592565).

Almost surely, 2^{100424320240100} is an apocalyptic number.

100424320240100 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 100424320240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119574978664680).

100424320240100 is an abundant number, since it is smaller than the sum of its proper divisors (138725637089260).

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

100424320240100 is a wasteful number, since it uses less digits than its factorization.

100424320240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14647618 (or 14647611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 100424320240100 its reverse (1042023424001), we get a palindrome (101466343664101).

The spelling of 100424320240100 in words is "one hundred trillion, four hundred twenty-four billion, three hundred twenty million, two hundred forty thousand, one hundred".