100936327680 has 480 divisors, whose sum is σ = 378078015744. Its totient is φ = 24789516288.

The previous prime is 100936327669. The next prime is 100936327711. The reversal of 100936327680 is 86723639001.

100936327680 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 3 + 632 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18406219 + ... + 18411701.

Almost surely, 2^100936327680 is an apocalyptic number.

100936327680 is a gapful number since it is divisible by the number (10) 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 100936327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189039007872).

100936327680 is an abundant number, since it is smaller than the sum of its proper divisors (277141688064).

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

100936327680 is a wasteful number, since it uses less digits than its factorization.

100936327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 100936327680 in words is "one hundred billion, nine hundred thirty-six million, three hundred twenty-seven thousand, six hundred eighty".