100720063008 has 432 divisors, whose sum is σ = 310685880960. Its totient is φ = 32115377664.

The previous prime is 100720063007. The next prime is 100720063019. The reversal of 100720063008 is 800360027001.

100720063008 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 20 + 0 + 630 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100720063001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 582196810 + ... + 582196982.

It is an arithmetic number, because the mean of its divisors is an integer number (719180280).

Almost surely, 2^100720063008 is an apocalyptic number.

100720063008 is a gapful number since it is divisible by the number (18) 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 100720063008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155342940480).

100720063008 is an abundant number, since it is smaller than the sum of its proper divisors (209965817952).

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

100720063008 is an frugal number, since it uses more digits than its factorization.

100720063008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 100720063008 in words is "one hundred billion, seven hundred twenty million, sixty-three thousand, eight".