100783281780720 has 1920 divisors, whose sum is σ = 447247866304512. Its totient is φ = 19731647692800.

The previous prime is 100783281780703. The next prime is 100783281780739. The reversal of 100783281780720 is 27087182387001.

100783281780720 is a `hidden beast` number, since 10 + 0 + 78 + 328 + 178 + 0 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11522035387 + ... + 11522044133.

Almost surely, 2^{100783281780720} is an apocalyptic number.

100783281780720 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 100783281780720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223623933152256).

100783281780720 is an abundant number, since it is smaller than the sum of its proper divisors (346464584523792).

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

100783281780720 is a wasteful number, since it uses less digits than its factorization.

100783281780720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8999 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 100783281780720 in words is "one hundred trillion, seven hundred eighty-three billion, two hundred eighty-one million, seven hundred eighty thousand, seven hundred twenty".