100641432960 has 512 divisors, whose sum is σ = 370761840000. Its totient is φ = 25769705472.

The previous prime is 100641432959. The next prime is 100641433001. The reversal of 100641432960 is 69234146001.

100641432960 is a `hidden beast` number, since 1 + 0 + 0 + 641 + 4 + 3 + 2 + 9 + 6 + 0 = 666.

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

It is a congruent number.

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, 114756042 + ... + 114756918.

Almost surely, 2^100641432960 is an apocalyptic number.

100641432960 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 100641432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185380920000).

100641432960 is an abundant number, since it is smaller than the sum of its proper divisors (270120407040).

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

100641432960 is a wasteful number, since it uses less digits than its factorization.

100641432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 100641432960 its reverse (69234146001), we get a palindrome (169875578961).

The spelling of 100641432960 in words is "one hundred billion, six hundred forty-one million, four hundred thirty-two thousand, nine hundred sixty".