100739903603329 has 9 divisors (see below), whose sum is σ = 101162075011011. Its totient is φ = 100319486842080.

The previous prime is 100739903603321. The next prime is 100739903603341. The reversal of 100739903603329 is 923306309937001.

The square root of 100739903603329 is 10036927.

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., 75763498033729 + 24976405569600 = 8704223^2 + 4997640^2 .

It is not a de Polignac number, because 100739903603329 - 2³ = 100739903603321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100739903603329.

It is not an unprimeable number, because it can be changed into a prime (100739903603321) 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 8 ways as a sum of consecutive naturals, for example, 2418878584 + ... + 2418920230.

It is an arithmetic number, because the mean of its divisors is an integer number (11240230556779).

Almost surely, 2^{100739903603329} is an apocalyptic number.

100739903603329 is the 10036927-th square number.

100739903603329 is the 5018464-th centered octagonal number.

It is an amenable number.

100739903603329 is a deficient number, since it is larger than the sum of its proper divisors (422171407682).

100739903603329 is an frugal number, since it uses more digits than its factorization.

100739903603329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83776 (or 41888 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 55.

The spelling of 100739903603329 in words is "one hundred trillion, seven hundred thirty-nine billion, nine hundred three million, six hundred three thousand, three hundred twenty-nine".