1000106809 has 8 divisors (see below), whose sum is σ = 1103307912. Its totient is φ = 900658560.

The previous prime is 1000106803. The next prime is 1000106869. The reversal of 1000106809 is 9086010001.

It can be written as a sum of positive squares in 4 ways, for example, as 7856809 + 992250000 = 2803^2 + 31500^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000106809 - 2⁹ = 1000106297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000106803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937654 + ... + 938719.

It is an arithmetic number, because the mean of its divisors is an integer number (137913489).

Almost surely, 2^1000106809 is an apocalyptic number.

It is an amenable number.

1000106809 is a deficient number, since it is larger than the sum of its proper divisors (103201103).

1000106809 is a wasteful number, since it uses less digits than its factorization.

1000106809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876427.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1000106809 is about 31624.4653551645. The cubic root of 1000106809 is about 1000.0356017325.

The spelling of 1000106809 in words is "one billion, one hundred six thousand, eight hundred nine".