100969056368896 has 27 divisors (see below), whose sum is σ = 201544023280593. Its totient is φ = 50484447797760.

The previous prime is 100969056368893. The next prime is 100969056368923. The reversal of 100969056368896 is 698863650969001.

The square root of 100969056368896 is 10048336.

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., 37556502128896 + 63412554240000 = 6128336^2 + 7963200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100969056368893) 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 2 ways as a sum of consecutive naturals, for example, 160459366 + ... + 161087386.

Almost surely, 2^{100969056368896} is an apocalyptic number.

100969056368896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100969056368896 is the 10048336-th square number.

It is an amenable number.

100969056368896 is a deficient number, since it is larger than the sum of its proper divisors (100574966911697).

100969056368896 is an frugal number, since it uses more digits than its factorization.

100969056368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256058 (or 628023 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 76.

The spelling of 100969056368896 in words is "one hundred trillion, nine hundred sixty-nine billion, fifty-six million, three hundred sixty-eight thousand, eight hundred ninety-six".