100008691515216 has 360 divisors, whose sum is σ = 308346108830760. Its totient is φ = 30236454420480.

The previous prime is 100008691515193. The next prime is 100008691515217. The reversal of 100008691515216 is 612515196800001.

100008691515216 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 8 + 69 + 1 + 51 + 521 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27976059777600 + 72032631737616 = 5289240^2 + 8487204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100008691515217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16306648086 + ... + 16306654218.

Almost surely, 2^{100008691515216} is an apocalyptic number.

100008691515216 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 100008691515216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154173054415380).

100008691515216 is an abundant number, since it is smaller than the sum of its proper divisors (208337417315544).

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

100008691515216 is a wasteful number, since it uses less digits than its factorization.

100008691515216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 100008691515216 in words is "one hundred trillion, eight billion, six hundred ninety-one million, five hundred fifteen thousand, two hundred sixteen".