1065105121 has 8 divisors (see below), whose sum is σ = 1073952360. Its totient is φ = 1056289152.

The previous prime is 1065105089. The next prime is 1065105169. The reversal of 1065105121 is 1215015601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 897661521 + 167443600 = 29961^2 + 12940^2 .

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 1065105121 - 2⁵ = 1065105089 is a prime.

It is a super-2 number, since 2×1065105121² = 2268897837560849282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1065105092 and 1065105101.

It is not an unprimeable number, because it can be changed into a prime (1065105191) 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 7 ways as a sum of consecutive naturals, for example, 63231 + ... + 78283.

It is an arithmetic number, because the mean of its divisors is an integer number (134244045).

Almost surely, 2^1065105121 is an apocalyptic number.

It is an amenable number.

1065105121 is a deficient number, since it is larger than the sum of its proper divisors (8847239).

1065105121 is a wasteful number, since it uses less digits than its factorization.

1065105121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15635.

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 1065105121 is about 32635.9482932548. The cubic root of 1065105121 is about 1021.2470716987.

The spelling of 1065105121 in words is "one billion, sixty-five million, one hundred five thousand, one hundred twenty-one".