100016367542784 has 4480 divisors, whose sum is σ = 412190760960000. Its totient is φ = 23966104780800.

The previous prime is 100016367542759. The next prime is 100016367542807. The reversal of 100016367542784 is 487245763610001.

100016367542784 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 6 + 367 + 5 + 4 + 278 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 100016367542784.

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 447 ways as a sum of consecutive naturals, for example, 1266029968857 + ... + 1266029968935.

Almost surely, 2^{100016367542784} is an apocalyptic number.

100016367542784 is a gapful number since it is divisible by the number (14) 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 100016367542784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206095380480000).

100016367542784 is an abundant number, since it is smaller than the sum of its proper divisors (312174393417216).

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

100016367542784 is an frugal number, since it uses more digits than its factorization.

100016367542784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 100016367542784 in words is "one hundred trillion, sixteen billion, three hundred sixty-seven million, five hundred forty-two thousand, seven hundred eighty-four".