100609938268704 has 192 divisors, whose sum is σ = 297754170497280. Its totient is φ = 33045135943680.

The previous prime is 100609938268699. The next prime is 100609938268711. The reversal of 100609938268704 is 407862839906001.

100609938268704 is a `hidden beast` number, since 10 + 0 + 609 + 9 + 3 + 8 + 2 + 6 + 8 + 7 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64253634 + ... + 65800830.

It is an arithmetic number, because the mean of its divisors is an integer number (1550802971340).

Almost surely, 2^{100609938268704} 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 100609938268704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148877085248640).

100609938268704 is an abundant number, since it is smaller than the sum of its proper divisors (197144232228576).

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

100609938268704 is a wasteful number, since it uses less digits than its factorization.

100609938268704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548320 (or 1548306 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 100609938268704 in words is "one hundred trillion, six hundred nine billion, nine hundred thirty-eight million, two hundred sixty-eight thousand, seven hundred four".