100415544768 has 1008 divisors, whose sum is σ = 398411395200. Its totient is φ = 23816540160.

The previous prime is 100415544743. The next prime is 100415544769. The reversal of 100415544768 is 867445514001.

100415544768 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 5 + 544 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100415544769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171065371 + ... + 171065957.

It is an arithmetic number, because the mean of its divisors is an integer number (395249400).

Almost surely, 2^100415544768 is an apocalyptic number.

100415544768 is a gapful number since it is divisible by the number (18) 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 100415544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199205697600).

100415544768 is an abundant number, since it is smaller than the sum of its proper divisors (297995850432).

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

100415544768 is a wasteful number, since it uses less digits than its factorization.

100415544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 100415544768 in words is "one hundred billion, four hundred fifteen million, five hundred forty-four thousand, seven hundred sixty-eight".