1000109819 has 2 divisors, whose sum is σ = 1000109820. Its totient is φ = 1000109818.

The previous prime is 1000109797. The next prime is 1000109833. The reversal of 1000109819 is 9189010001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1000109819 - 2¹² = 1000105723 is a prime.

It is a super-2 number, since 2×1000109819² = 2000439300120425522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000109791 and 1000109800.

It is not a weakly prime, because it can be changed into another prime (1000109849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500054909 + 500054910.

It is an arithmetic number, because the mean of its divisors is an integer number (500054910).

Almost surely, 2^1000109819 is an apocalyptic number.

1000109819 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000109819 is an equidigital number, since it uses as much as digits as its factorization.

1000109819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 29.

The square root of 1000109819 is about 31624.5129448660. The cubic root of 1000109819 is about 1000.0366049934.

The spelling of 1000109819 in words is "one billion, one hundred nine thousand, eight hundred nineteen".