100501735680 has 216 divisors, whose sum is σ = 348093465720. Its totient is φ = 26772111360.

The previous prime is 100501735679. The next prime is 100501735723. The reversal of 100501735680 is 86537105001.

100501735680 is a `hidden beast` number, since 1 + 0 + 0 + 501 + 73 + 5 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5657446656 + 94844289024 = 75216^2 + 307968^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12310800 + ... + 12318960.

Almost surely, 2^100501735680 is an apocalyptic number.

100501735680 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 100501735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174046732860).

100501735680 is an abundant number, since it is smaller than the sum of its proper divisors (247591730040).

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

100501735680 is a wasteful number, since it uses less digits than its factorization.

100501735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9257 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 100501735680 in words is "one hundred billion, five hundred one million, seven hundred thirty-five thousand, six hundred eighty".