100344142240 has 48 divisors (see below), whose sum is σ = 237086415720. Its totient is φ = 40133698560.

The previous prime is 100344142201. The next prime is 100344142247. The reversal of 100344142240 is 42241443001.

It can be written as a sum of positive squares in 4 ways, for example, as 59616058896 + 40728083344 = 244164^2 + 201812^2 .

It is not an unprimeable number, because it can be changed into a prime (100344142247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2020426 + ... + 2069494.

Almost surely, 2^100344142240 is an apocalyptic number.

100344142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100344142240 is an abundant number, since it is smaller than the sum of its proper divisors (136742273480).

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

100344142240 is a wasteful number, since it uses less digits than its factorization.

100344142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61865 (or 61857 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 100344142240 its reverse (42241443001), we get a palindrome (142585585241).

The spelling of 100344142240 in words is "one hundred billion, three hundred forty-four million, one hundred forty-two thousand, two hundred forty".