100866333288144 has 160 divisors (see below), whose sum is σ = 279397013696640. Its totient is φ = 31243618861056.

The previous prime is 100866333288107. The next prime is 100866333288179. The reversal of 100866333288144 is 441882333668001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108511554 + ... + 109437150.

It is an arithmetic number, because the mean of its divisors is an integer number (1746231335604).

Almost surely, 2^{100866333288144} 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 100866333288144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139698506848320).

100866333288144 is an abundant number, since it is smaller than the sum of its proper divisors (178530680408496).

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

100866333288144 is a wasteful number, since it uses less digits than its factorization.

100866333288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927317 (or 927311 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 100866333288144 in words is "one hundred trillion, eight hundred sixty-six billion, three hundred thirty-three million, two hundred eighty-eight thousand, one hundred forty-four".