100783111680 has 320 divisors, whose sum is σ = 361362228480. Its totient is φ = 26622369792.

The previous prime is 100783111673. The next prime is 100783111703. The reversal of 100783111680 is 86111387001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7389027 + ... + 7402653.

It is an arithmetic number, because the mean of its divisors is an integer number (1129256964).

Almost surely, 2^100783111680 is an apocalyptic number.

100783111680 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 100783111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180681114240).

100783111680 is an abundant number, since it is smaller than the sum of its proper divisors (260579116800).

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

100783111680 is a wasteful number, since it uses less digits than its factorization.

100783111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766 (or 13744 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 100783111680 its reverse (86111387001), we get a palindrome (186894498681).

The spelling of 100783111680 in words is "one hundred billion, seven hundred eighty-three million, one hundred eleven thousand, six hundred eighty".