100151608320 has 528 divisors, whose sum is σ = 370527306240. Its totient is φ = 24938938368.

The previous prime is 100151608313. The next prime is 100151608321. The reversal of 100151608320 is 23806151001.

100151608320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 51 + 608 + 3 + 2 + 0 = 666.

100151608320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100151608321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63912177 + ... + 63913743.

Almost surely, 2^100151608320 is an apocalyptic number.

100151608320 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 100151608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185263653120).

100151608320 is an abundant number, since it is smaller than the sum of its proper divisors (270375697920).

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

100151608320 is a wasteful number, since it uses less digits than its factorization.

100151608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 100151608320 its reverse (23806151001), we get a palindrome (123957759321).

The spelling of 100151608320 in words is "one hundred billion, one hundred fifty-one million, six hundred eight thousand, three hundred twenty".