100343032004000 has 192 divisors, whose sum is σ = 250793158936320. Its totient is φ = 39445647436800.

The previous prime is 100343032003997. The next prime is 100343032004021. The reversal of 100343032004000 is 400230343001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851193062 + ... + 851310938.

It is an arithmetic number, because the mean of its divisors is an integer number (1306214369460).

Almost surely, 2^{100343032004000} is an apocalyptic number.

100343032004000 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 100343032004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125396579468160).

100343032004000 is an abundant number, since it is smaller than the sum of its proper divisors (150450126932320).

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

100343032004000 is a wasteful number, since it uses less digits than its factorization.

100343032004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121568 (or 121550 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 100343032004000 its reverse (400230343001), we get a palindrome (100743262347001).

The spelling of 100343032004000 in words is "one hundred trillion, three hundred forty-three billion, thirty-two million, four thousand".