100107108665316 has 45 divisors (see below), whose sum is σ = 261700227103161. Its totient is φ = 33368976189648.

The previous prime is 100107108665293. The next prime is 100107108665329. The reversal of 100107108665316 is 613566801701001.

The square root of 100107108665316 is 10005354.

It is a perfect power (a square), and thus also a powerful number.

100107108665316 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 7 + 108 + 6 + 6 + 531 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77667030152100 + 22440078513216 = 8812890^2 + 4737096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 179818446 + ... + 180374298.

Almost surely, 2^{100107108665316} is an apocalyptic number.

100107108665316 is the 10005354-th square number.

It is an amenable number.

100107108665316 is an abundant number, since it is smaller than the sum of its proper divisors (161593118437845).

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

100107108665316 is an frugal number, since it uses more digits than its factorization.

100107108665316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111722 (or 555858 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 100107108665316 in words is "one hundred trillion, one hundred seven billion, one hundred eight million, six hundred sixty-five thousand, three hundred sixteen".