100844411616 has 480 divisors, whose sum is σ = 341168889600. Its totient is φ = 28983951360.

The previous prime is 100844411561. The next prime is 100844411713. The reversal of 100844411616 is 616114448001.

It is a happy number.

100844411616 is a `hidden beast` number, since 100 + 84 + 4 + 411 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30291040 + ... + 30294368.

It is an arithmetic number, because the mean of its divisors is an integer number (710768520).

Almost surely, 2^100844411616 is an apocalyptic number.

100844411616 is a gapful number since it is divisible by the number (16) 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 100844411616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170584444800).

100844411616 is an abundant number, since it is smaller than the sum of its proper divisors (240324477984).

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

100844411616 is a wasteful number, since it uses less digits than its factorization.

100844411616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 100844411616 its reverse (616114448001), we get a palindrome (716958859617).

The spelling of 100844411616 in words is "one hundred billion, eight hundred forty-four million, four hundred eleven thousand, six hundred sixteen".