100004345360712 has 192 divisors, whose sum is σ = 293578846470000. Its totient is φ = 30570236116992.

The previous prime is 100004345360567. The next prime is 100004345360747. The reversal of 100004345360712 is 217063543400001.

100004345360712 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 4 + 3 + 45 + 3 + 607 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8136836120196 + 91867509240516 = 2852514^2 + 9584754^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1123991364 + ... + 1124080332.

Almost surely, 2^{100004345360712} is an apocalyptic number.

100004345360712 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 100004345360712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146789423235000).

100004345360712 is an abundant number, since it is smaller than the sum of its proper divisors (193574501109288).

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

100004345360712 is a wasteful number, since it uses less digits than its factorization.

100004345360712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96800 (or 96793 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 100004345360712 its reverse (217063543400001), we get a palindrome (317067888760713).

The spelling of 100004345360712 in words is "one hundred trillion, four billion, three hundred forty-five million, three hundred sixty thousand, seven hundred twelve".