100115040816 has 480 divisors, whose sum is σ = 344960778240. Its totient is φ = 26457145344.

The previous prime is 100115040793. The next prime is 100115040821. The reversal of 100115040816 is 618040511001.

100115040816 is a `hidden beast` number, since 100 + 1 + 150 + 408 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100115040816.

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 95 ways as a sum of consecutive naturals, for example, 389552560 + ... + 389552816.

It is an arithmetic number, because the mean of its divisors is an integer number (718668288).

Almost surely, 2^100115040816 is an apocalyptic number.

100115040816 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 100115040816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172480389120).

100115040816 is an abundant number, since it is smaller than the sum of its proper divisors (244845737424).

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

100115040816 is a wasteful number, since it uses less digits than its factorization.

100115040816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 100115040816 its reverse (618040511001), we get a palindrome (718155551817).

The spelling of 100115040816 in words is "one hundred billion, one hundred fifteen million, forty thousand, eight hundred sixteen".