100671040369 has 9 divisors (see below), whose sum is σ = 101750692491. Its totient is φ = 99602735040.

The previous prime is 100671040361. The next prime is 100671040387. The reversal of 100671040369 is 963040176001.

The square root of 100671040369 is 317287.

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., 45205138225 + 55465902144 = 212615^2 + 235512^2 .

It is not a de Polignac number, because 100671040369 - 2³ = 100671040361 is a prime.

It is a super-2 number, since 2×100671040369² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100671040361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30775204 + ... + 30778474.

It is an arithmetic number, because the mean of its divisors is an integer number (11305632499).

Almost surely, 2^100671040369 is an apocalyptic number.

100671040369 is the 317287-th square number.

100671040369 is the 158644-th centered octagonal number.

It is an amenable number.

100671040369 is a deficient number, since it is larger than the sum of its proper divisors (1079652122).

100671040369 is an frugal number, since it uses more digits than its factorization.

100671040369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 100671040369 in words is "one hundred billion, six hundred seventy-one million, forty thousand, three hundred sixty-nine".