100039663932289 has 27 divisors (see below), whose sum is σ = 102168368377761. Its totient is φ = 97955020629480.

The previous prime is 100039663932277. The next prime is 100039663932311. The reversal of 100039663932289 is 982239366930001.

The square root of 100039663932289 is 10001983.

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

It is not a de Polignac number, because 100039663932289 - 2⁷ = 100039663932161 is a prime.

It is a super-3 number, since 3×100039663932289³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100039663932239) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 127115201554 + ... + 127115202340.

Almost surely, 2^{100039663932289} is an apocalyptic number.

100039663932289 is the 10001983-rd square number.

100039663932289 is the 5000992-nd centered octagonal number.

It is an amenable number.

100039663932289 is a deficient number, since it is larger than the sum of its proper divisors (2128704445472).

100039663932289 is an frugal number, since it uses more digits than its factorization.

100039663932289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 61.

The spelling of 100039663932289 in words is "one hundred trillion, thirty-nine billion, six hundred sixty-three million, nine hundred thirty-two thousand, two hundred eighty-nine".