100116914152336 has 15 divisors (see below), whose sum is σ = 193976598715473. Its totient is φ = 50058437064480.

The previous prime is 100116914152319. The next prime is 100116914152427. The reversal of 100116914152336 is 633251419611001.

The square root of 100116914152336 is 10005844.

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

It can be written as a sum of positive squares in only one way, i.e., 6220814152336 + 93896100000000 = 2494156^2 + 9690000^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100116914152292 and 100116914152301.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 38772646 + ... + 41274106.

Almost surely, 2^{100116914152336} is an apocalyptic number.

100116914152336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100116914152336 is the 10005844-th square number.

It is an amenable number.

100116914152336 is a deficient number, since it is larger than the sum of its proper divisors (93859684563137).

100116914152336 is an frugal number, since it uses more digits than its factorization.

100116914152336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002930 (or 2501463 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 100116914152336 in words is "one hundred trillion, one hundred sixteen billion, nine hundred fourteen million, one hundred fifty-two thousand, three hundred thirty-six".