100064384820792 has 256 divisors, whose sum is σ = 338999316480000. Its totient is φ = 26696194430976.

The previous prime is 100064384820779. The next prime is 100064384820797. The reversal of 100064384820792 is 297028483460001.

100064384820792 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 64 + 38 + 482 + 0 + 79 + 2 = 666.

It is a super-3 number, since 3×100064384820792³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100064384820797) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12062167 + ... + 18590982.

It is an arithmetic number, because the mean of its divisors is an integer number (1324216080000).

Almost surely, 2^{100064384820792} is an apocalyptic number.

100064384820792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100064384820792 is an abundant number, since it is smaller than the sum of its proper divisors (238934931659208).

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

100064384820792 is a wasteful number, since it uses less digits than its factorization.

100064384820792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30653315 (or 30653305 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 100064384820792 in words is "one hundred trillion, sixty-four billion, three hundred eighty-four million, eight hundred twenty thousand, seven hundred ninety-two".