100199470849 has 9 divisors (see below), whose sum is σ = 100598311107. Its totient is φ = 99802209384.

The previous prime is 100199470841. The next prime is 100199470949. The reversal of 100199470849 is 948074991001.

The square root of 100199470849 is 316543.

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., 73545643249 + 26653827600 = 271193^2 + 163260^2 .

It is not a de Polignac number, because 100199470849 - 2³ = 100199470841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100199470796 and 100199470805.

It is not an unprimeable number, because it can be changed into a prime (100199470841) 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 8 ways as a sum of consecutive naturals, for example, 110473054 + ... + 110473960.

It is an arithmetic number, because the mean of its divisors is an integer number (11177590123).

Almost surely, 2^100199470849 is an apocalyptic number.

100199470849 is the 316543-rd square number.

100199470849 is the 158272-nd centered octagonal number.

It is an amenable number.

100199470849 is a deficient number, since it is larger than the sum of its proper divisors (398840258).

100199470849 is an frugal number, since it uses more digits than its factorization.

100199470849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 100199470849 in words is "one hundred billion, one hundred ninety-nine million, four hundred seventy thousand, eight hundred forty-nine".