100319793289 has 27 divisors (see below), whose sum is σ = 107516887303. Its totient is φ = 93595868432.

The previous prime is 100319793251. The next prime is 100319793311. The reversal of 100319793289 is 982397913001.

The square root of 100319793289 is 316733.

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., 94916367225 + 5403426064 = 308085^2 + 73508^2 .

It is not a de Polignac number, because 100319793289 - 2²⁷ = 100185575561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100319793689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 342388227 + ... + 342388519.

Almost surely, 2^100319793289 is an apocalyptic number.

100319793289 is the 316733-rd square number.

100319793289 is the 158367-th centered octagonal number.

It is an amenable number.

100319793289 is a deficient number, since it is larger than the sum of its proper divisors (7197094014).

100319793289 is an frugal number, since it uses more digits than its factorization.

100319793289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 100319793289 in words is "one hundred billion, three hundred nineteen million, seven hundred ninety-three thousand, two hundred eighty-nine".