100716783552 has 504 divisors, whose sum is σ = 368899440000. Its totient is φ = 25709460480.

The previous prime is 100716783551. The next prime is 100716783581. The reversal of 100716783552 is 255387617001.

It is a happy number.

100716783552 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 16 + 7 + 83 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 100716783498 and 100716783507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100716783551) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 28782699 + ... + 28786197.

Almost surely, 2^100716783552 is an apocalyptic number.

100716783552 is a gapful number since it is divisible by the number (12) 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 100716783552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184449720000).

100716783552 is an abundant number, since it is smaller than the sum of its proper divisors (268182656448).

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

100716783552 is a wasteful number, since it uses less digits than its factorization.

100716783552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 100716783552 in words is "one hundred billion, seven hundred sixteen million, seven hundred eighty-three thousand, five hundred fifty-two".