100340240000 has 960 divisors, whose sum is σ = 343279490400. Its totient is φ = 28707840000.

The previous prime is 100340239963. The next prime is 100340240029. The reversal of 100340240000 is 42043001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 560559911 + ... + 560560089.

Almost surely, 2^100340240000 is an apocalyptic number.

100340240000 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 100340240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171639745200).

100340240000 is an abundant number, since it is smaller than the sum of its proper divisors (242939250400).

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

100340240000 is a wasteful number, since it uses less digits than its factorization.

100340240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 100340240000 its reverse (42043001), we get a palindrome (100382283001).

The spelling of 100340240000 in words is "one hundred billion, three hundred forty million, two hundred forty thousand".