1000109973 has 16 divisors (see below), whose sum is σ = 1404996800. Its totient is φ = 631048320.

The previous prime is 1000109959. The next prime is 1000109977. The reversal of 1000109973 is 3799010001.

It is not a de Polignac number, because 1000109973 - 2¹⁷ = 999978901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000109973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000109977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56583 + ... + 72123.

It is an arithmetic number, because the mean of its divisors is an integer number (87812300).

Almost surely, 2^1000109973 is an apocalyptic number.

It is an amenable number.

1000109973 is a deficient number, since it is larger than the sum of its proper divisors (404886827).

1000109973 is a wasteful number, since it uses less digits than its factorization.

1000109973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16692.

The product of its (nonzero) digits is 1701, while the sum is 30.

The square root of 1000109973 is about 31624.5153796861. The cubic root of 1000109973 is about 1000.0366563230.

Adding to 1000109973 its reverse (3799010001), we get a palindrome (4799119974).

The spelling of 1000109973 in words is "one billion, one hundred nine thousand, nine hundred seventy-three".