100727766720 has 336 divisors, whose sum is σ = 398625364800. Its totient is φ = 22868287488.

The previous prime is 100727766661. The next prime is 100727766739. The reversal of 100727766720 is 27667727001.

100727766720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2987074 + ... + 3020606.

Almost surely, 2^100727766720 is an apocalyptic number.

100727766720 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 100727766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199312682400).

100727766720 is an abundant number, since it is smaller than the sum of its proper divisors (297897598080).

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

100727766720 is a wasteful number, since it uses less digits than its factorization.

100727766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33712 (or 33699 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 100727766720 in words is "one hundred billion, seven hundred twenty-seven million, seven hundred sixty-six thousand, seven hundred twenty".