100103034000 has 320 divisors, whose sum is σ = 326830652928. Its totient is φ = 26357760000.

The previous prime is 100103033993. The next prime is 100103034013. The reversal of 100103034000 is 430301001.

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

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, 283577824 + ... + 283578176.

Almost surely, 2^100103034000 is an apocalyptic number.

100103034000 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 100103034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163415326464).

100103034000 is an abundant number, since it is smaller than the sum of its proper divisors (226727618928).

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

100103034000 is a wasteful number, since it uses less digits than its factorization.

100103034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 827 counting only the distinct ones).

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

Adding to 100103034000 its reverse (430301001), we get a palindrome (100533335001).

The spelling of 100103034000 in words is "one hundred billion, one hundred three million, thirty-four thousand".