100044411000 has 512 divisors, whose sum is σ = 338038272000. Its totient is φ = 24568473600.

The previous prime is 100044410929. The next prime is 100044411017. The reversal of 100044411000 is 114440001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 380396869 + ... + 380397131.

It is an arithmetic number, because the mean of its divisors is an integer number (660231000).

Almost surely, 2^100044411000 is an apocalyptic number.

100044411000 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 100044411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169019136000).

100044411000 is an abundant number, since it is smaller than the sum of its proper divisors (237993861000).

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

100044411000 is a wasteful number, since it uses less digits than its factorization.

100044411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100044411000 its reverse (114440001), we get a palindrome (100158851001).

The spelling of 100044411000 in words is "one hundred billion, forty-four million, four hundred eleven thousand".