100881607680 has 1056 divisors, whose sum is σ = 426429074880. Its totient is φ = 22543073280.

The previous prime is 100881607649. The next prime is 100881607751. The reversal of 100881607680 is 86706188001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359009140 + ... + 359009420.

Almost surely, 2^100881607680 is an apocalyptic number.

100881607680 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 100881607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213214537440).

100881607680 is an abundant number, since it is smaller than the sum of its proper divisors (325547467200).

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

100881607680 is a wasteful number, since it uses less digits than its factorization.

100881607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 100881607680 in words is "one hundred billion, eight hundred eighty-one million, six hundred seven thousand, six hundred eighty".