100799893207225 has 27 divisors (see below), whose sum is σ = 125661654456429. Its totient is φ = 80210085724800.

The previous prime is 100799893207213. The next prime is 100799893207249. The reversal of 100799893207225 is 522702398997001.

The square root of 100799893207225 is 10039915.

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

It can be written as a sum of positive squares in 4 ways, for example, as 63172023374889 + 37627869832336 = 7948083^2 + 6134156^2 .

It is not a de Polignac number, because 100799893207225 - 2¹⁷ = 100799893076153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9588113569 + ... + 9588124081.

Almost surely, 2^{100799893207225} is an apocalyptic number.

100799893207225 is the 10039915-th square number.

100799893207225 is the 5019958-th centered octagonal number.

It is an amenable number.

100799893207225 is a deficient number, since it is larger than the sum of its proper divisors (24861761249204).

100799893207225 is an frugal number, since it uses more digits than its factorization.

100799893207225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21418 (or 10709 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

The spelling of 100799893207225 in words is "one hundred trillion, seven hundred ninety-nine billion, eight hundred ninety-three million, two hundred seven thousand, two hundred twenty-five".