100969720320 has 640 divisors, whose sum is σ = 395522113536. Its totient is φ = 21469003776.

The previous prime is 100969720259. The next prime is 100969720351. The reversal of 100969720320 is 23027969001.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45748657 + ... + 45750863.

Almost surely, 2^100969720320 is an apocalyptic number.

100969720320 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 100969720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197761056768).

100969720320 is an abundant number, since it is smaller than the sum of its proper divisors (294552393216).

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

100969720320 is a wasteful number, since it uses less digits than its factorization.

100969720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 100969720320 in words is "one hundred billion, nine hundred sixty-nine million, seven hundred twenty thousand, three hundred twenty".