100387002240 has 512 divisors, whose sum is σ = 412086528000. Its totient is φ = 22620487680.

The previous prime is 100387002203. The next prime is 100387002241. The reversal of 100387002240 is 42200783001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100387002241) 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 63 ways as a sum of consecutive naturals, for example, 8582316 + ... + 8594004.

It is an arithmetic number, because the mean of its divisors is an integer number (804856500).

Almost surely, 2^100387002240 is an apocalyptic number.

100387002240 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 100387002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206043264000).

100387002240 is an abundant number, since it is smaller than the sum of its proper divisors (311699525760).

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

100387002240 is a wasteful number, since it uses less digits than its factorization.

100387002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 100387002240 its reverse (42200783001), we get a palindrome (142587785241).

The spelling of 100387002240 in words is "one hundred billion, three hundred eighty-seven million, two thousand, two hundred forty".