100100343000 has 256 divisors, whose sum is σ = 357899443200. Its totient is φ = 22817894400.

The previous prime is 100100342999. The next prime is 100100343019. The reversal of 100100343000 is 343001001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 7952712 + ... + 7965288.

It is an arithmetic number, because the mean of its divisors is an integer number (1398044700).

Almost surely, 2^100100343000 is an apocalyptic number.

100100343000 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 100100343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178949721600).

100100343000 is an abundant number, since it is smaller than the sum of its proper divisors (257799100200).

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

100100343000 is a wasteful number, since it uses less digits than its factorization.

100100343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12987 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100100343000 its reverse (343001001), we get a palindrome (100443344001).

The spelling of 100100343000 in words is "one hundred billion, one hundred million, three hundred forty-three thousand".