100663032960 has 512 divisors, whose sum is σ = 431421811200. Its totient is φ = 21654798336.

The previous prime is 100663032949. The next prime is 100663032979. The reversal of 100663032960 is 69230366001.

100663032960 is a `hidden beast` number, since 1 + 0 + 0 + 66 + 303 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2031844 + ... + 2080796.

It is an arithmetic number, because the mean of its divisors is an integer number (842620725).

Almost surely, 2^100663032960 is an apocalyptic number.

100663032960 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 100663032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215710905600).

100663032960 is an abundant number, since it is smaller than the sum of its proper divisors (330758778240).

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

100663032960 is a wasteful number, since it uses less digits than its factorization.

100663032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49005 (or 48987 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Adding to 100663032960 its reverse (69230366001), we get a palindrome (169893398961).

The spelling of 100663032960 in words is "one hundred billion, six hundred sixty-three million, thirty-two thousand, nine hundred sixty".