100579682449 has 9 divisors (see below), whose sum is σ = 101832736699. Its totient is φ = 99341873320.

The previous prime is 100579682377. The next prime is 100579682509. The reversal of 100579682449 is 944286975001.

The square root of 100579682449 is 317143.

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., 90326094849 + 10253587600 = 300543^2 + 101260^2 .

It is not a de Polignac number, because 100579682449 - 2¹³ = 100579674257 is a prime.

It is a super-3 number, since 3×100579682449³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100579682449.

It is not an unprimeable number, because it can be changed into a prime (100579632449) 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, 26320959 + ... + 26324779.

Almost surely, 2^100579682449 is an apocalyptic number.

100579682449 is the 317143-rd square number.

100579682449 is the 158572-nd centered octagonal number.

It is an amenable number.

100579682449 is a deficient number, since it is larger than the sum of its proper divisors (1253054250).

100579682449 is an frugal number, since it uses more digits than its factorization.

100579682449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 100579682449 in words is "one hundred billion, five hundred seventy-nine million, six hundred eighty-two thousand, four hundred forty-nine".