100060009 has 9 divisors (see below), whose sum is σ = 116477847. Its totient is φ = 85705704.

The previous prime is 100060003. The next prime is 100060013. The reversal of 100060009 is 900060001.

The square root of 100060009 is 10003.

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., 6744409 + 93315600 = 2597^2 + 9660^2 .

It is not a de Polignac number, because 100060009 - 2³ = 100060001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100059974 and 100060001.

It is not an unprimeable number, because it can be changed into a prime (100060001) 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, 69307 + ... + 70735.

It is an arithmetic number, because the mean of its divisors is an integer number (12941983).

Almost surely, 2^100060009 is an apocalyptic number.

100060009 is the 10003-rd square number.

100060009 is the 5002-nd centered octagonal number.

It is an amenable number.

100060009 is a deficient number, since it is larger than the sum of its proper divisors (16417838).

100060009 is an frugal number, since it uses more digits than its factorization.

100060009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 100060009 is about 464.2517104970.

Multiplying 100060009 by its sum of digits (16), we get a square (1600960144 = 40012²).

It can be divided in two parts, 1000 and 60009, that added together give a square (61009 = 247²).

The spelling of 100060009 in words is "one hundred million, sixty thousand, nine".