100516654634368 has 128 divisors (see below), whose sum is σ = 229351504320000. Its totient is φ = 42985113661440.

The previous prime is 100516654634351. The next prime is 100516654634399. The reversal of 100516654634368 is 863436456615001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3387692173 + ... + 3387721843.

It is an arithmetic number, because the mean of its divisors is an integer number (1791808627500).

Almost surely, 2^{100516654634368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100516654634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114675752160000).

100516654634368 is an abundant number, since it is smaller than the sum of its proper divisors (128834849685632).

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

100516654634368 is an equidigital number, since it uses as much as digits as its factorization.

100516654634368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37768 (or 37756 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 58.

The spelling of 100516654634368 in words is "one hundred trillion, five hundred sixteen billion, six hundred fifty-four million, six hundred thirty-four thousand, three hundred sixty-eight".