100016725734304 has 24 divisors (see below), whose sum is σ = 196981484404068. Its totient is φ = 49989682076160.

The previous prime is 100016725734253. The next prime is 100016725734323. The reversal of 100016725734304 is 403437527610001.

It can be written as a sum of positive squares in 2 ways, for example, as 74468270250000 + 25548455484304 = 8629500^2 + 5054548^2 .

It is a super-2 number, since 2×100016725734304² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 583687717 + ... + 583859044.

Almost surely, 2^{100016725734304} is an apocalyptic number.

It is an amenable number.

100016725734304 is a deficient number, since it is larger than the sum of its proper divisors (96964758669764).

100016725734304 is a wasteful number, since it uses less digits than its factorization.

100016725734304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167549448 (or 1167549440 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 100016725734304 in words is "one hundred trillion, sixteen billion, seven hundred twenty-five million, seven hundred thirty-four thousand, three hundred four".