100381780368 has 120 divisors (see below), whose sum is σ = 286389312768. Its totient is φ = 32811008256.

The previous prime is 100381780337. The next prime is 100381780379. The reversal of 100381780368 is 863087183001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24321121 + ... + 24325247.

Almost surely, 2^100381780368 is an apocalyptic number.

100381780368 is a gapful number since it is divisible by the number (18) 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 100381780368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143194656384).

100381780368 is an abundant number, since it is smaller than the sum of its proper divisors (186007532400).

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

100381780368 is a wasteful number, since it uses less digits than its factorization.

100381780368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 100381780368 in words is "one hundred billion, three hundred eighty-one million, seven hundred eighty thousand, three hundred sixty-eight".