100720968596640 has 4608 divisors, whose sum is σ = 458394080256000. Its totient is φ = 20522693689344.

The previous prime is 100720968596629. The next prime is 100720968596641. The reversal of 100720968596640 is 46695869027001.

100720968596640 is a `hidden beast` number, since 10 + 0 + 7 + 20 + 9 + 6 + 8 + 596 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (100720968596641) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 891336005224 + ... + 891336005336.

It is an arithmetic number, because the mean of its divisors is an integer number (99477882000).

Almost surely, 2^{100720968596640} is an apocalyptic number.

100720968596640 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 100720968596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229197040128000).

100720968596640 is an abundant number, since it is smaller than the sum of its proper divisors (357673111659360).

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

100720968596640 is a wasteful number, since it uses less digits than its factorization.

100720968596640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 100720968596640 in words is "one hundred trillion, seven hundred twenty billion, nine hundred sixty-eight million, five hundred ninety-six thousand, six hundred forty".