100081093608144 has 320 divisors, whose sum is σ = 330078778368000. Its totient is φ = 28714032092160.

The previous prime is 100081093608113. The next prime is 100081093608233. The reversal of 100081093608144 is 441806390180001.

100081093608144 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 10 + 9 + 3 + 608 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100081093608144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149272737 + ... + 149941695.

It is an arithmetic number, because the mean of its divisors is an integer number (1031496182400).

Almost surely, 2^{100081093608144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100081093608144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165039389184000).

100081093608144 is an abundant number, since it is smaller than the sum of its proper divisors (229997684759856).

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

100081093608144 is a wasteful number, since it uses less digits than its factorization.

100081093608144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670663 (or 670651 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 100081093608144 in words is "one hundred trillion, eighty-one billion, ninety-three million, six hundred eight thousand, one hundred forty-four".