1007106809 has 8 divisors (see below), whose sum is σ = 1103119560. Its totient is φ = 915179776.

The previous prime is 1007106803. The next prime is 1007106817. The reversal of 1007106809 is 9086017001.

It can be written as a sum of positive squares in 4 ways, for example, as 450288400 + 556818409 = 21220^2 + 23597^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1007106809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007106803) 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 7 ways as a sum of consecutive naturals, for example, 1020914 + ... + 1021899.

It is an arithmetic number, because the mean of its divisors is an integer number (137889945).

Almost surely, 2^1007106809 is an apocalyptic number.

It is an amenable number.

1007106809 is a deficient number, since it is larger than the sum of its proper divisors (96012751).

1007106809 is a wasteful number, since it uses less digits than its factorization.

1007106809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042859.

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 1007106809 is about 31734.9461792517. The cubic root of 1007106809 is about 1002.3633465264.

The spelling of 1007106809 in words is "one billion, seven million, one hundred six thousand, eight hundred nine".