100030312440 has 192 divisors, whose sum is σ = 336695823360. Its totient is φ = 25739185920.

The previous prime is 100030312439. The next prime is 100030312531. The reversal of 100030312440 is 44213030001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159687 + ... + 1242953.

It is an arithmetic number, because the mean of its divisors is an integer number (1753624080).

Almost surely, 2^100030312440 is an apocalyptic number.

100030312440 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 100030312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168347911680).

100030312440 is an abundant number, since it is smaller than the sum of its proper divisors (236665510920).

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

100030312440 is a wasteful number, since it uses less digits than its factorization.

100030312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83402 (or 83395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100030312440 its reverse (44213030001), we get a palindrome (144243342441).

The spelling of 100030312440 in words is "one hundred billion, thirty million, three hundred twelve thousand, four hundred forty".