100047345602689 has 27 divisors (see below), whose sum is σ = 103815400105953. Its totient is φ = 96412815513000.

The previous prime is 100047345602587. The next prime is 100047345602713. The reversal of 100047345602689 is 986206543740001.

The square root of 100047345602689 is 10002367.

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

It is a de Polignac number, because none of the positive numbers 2^k-100047345602689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100047345602389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95192526214 + ... + 95192527264.

It is an arithmetic number, because the mean of its divisors is an integer number (3845014818739).

It is a 2-persistent number, because it is pandigital, and so is 2⋅100047345602689 = 200094691205378, but 3⋅100047345602689 = 300142036808067 is not.

Almost surely, 2^{100047345602689} is an apocalyptic number.

100047345602689 is the 10002367-th square number.

100047345602689 is the 5001184-th centered octagonal number.

It is an amenable number.

100047345602689 is a deficient number, since it is larger than the sum of its proper divisors (3768054503264).

100047345602689 is an frugal number, since it uses more digits than its factorization.

100047345602689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 100047345602689 in words is "one hundred trillion, forty-seven billion, three hundred forty-five million, six hundred two thousand, six hundred eighty-nine".