100527600116736 has 704 divisors, whose sum is σ = 325116802348800. Its totient is φ = 30500034969600.

The previous prime is 100527600116731. The next prime is 100527600116759. The reversal of 100527600116736 is 637611006725001.

100527600116736 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 7 + 600 + 1 + 1 + 6 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100527600116691 and 100527600116700.

It is not an unprimeable number, because it can be changed into a prime (100527600116731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8266386496 + ... + 8266398656.

It is an arithmetic number, because the mean of its divisors is an integer number (461813639700).

Almost surely, 2^{100527600116736} is an apocalyptic number.

100527600116736 is a gapful number since it is divisible by the number (16) 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 100527600116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162558401174400).

100527600116736 is an abundant number, since it is smaller than the sum of its proper divisors (224589202232064).

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

100527600116736 is a wasteful number, since it uses less digits than its factorization.

100527600116736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 100527600116736 in words is "one hundred trillion, five hundred twenty-seven billion, six hundred million, one hundred sixteen thousand, seven hundred thirty-six".