1000106965 has 32 divisors (see below), whose sum is σ = 1455455232. Its totient is φ = 649728000.

The previous prime is 1000106959. The next prime is 1000106981. The reversal of 1000106965 is 5696010001.

It is not a de Polignac number, because 1000106965 - 2⁹ = 1000106453 is a prime.

It is a super-2 number, since 2×1000106965² = 2000427882883022450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 396 + ... + 44725.

It is an arithmetic number, because the mean of its divisors is an integer number (45482976).

Almost surely, 2^1000106965 is an apocalyptic number.

It is an amenable number.

1000106965 is a deficient number, since it is larger than the sum of its proper divisors (455348267).

1000106965 is a wasteful number, since it uses less digits than its factorization.

1000106965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45181.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1000106965 is about 31624.4678216093. The cubic root of 1000106965 is about 1000.0356537288.

Adding to 1000106965 its reverse (5696010001), we get a palindrome (6696116966).

The spelling of 1000106965 in words is "one billion, one hundred six thousand, nine hundred sixty-five".