100789370880 has 480 divisors, whose sum is σ = 367359487488. Its totient is φ = 23357030400.

The previous prime is 100789370821. The next prime is 100789370881. The reversal of 100789370880 is 88073987001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100789370881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62176470 + ... + 62178090.

Almost surely, 2^100789370880 is an apocalyptic number.

100789370880 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 100789370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183679743744).

100789370880 is an abundant number, since it is smaller than the sum of its proper divisors (266570116608).

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

100789370880 is a wasteful number, since it uses less digits than its factorization.

100789370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 100789370880 in words is "one hundred billion, seven hundred eighty-nine million, three hundred seventy thousand, eight hundred eighty".