10106117065 has 16 divisors (see below), whose sum is σ = 13360821696. Its totient is φ = 7277128000.

The previous prime is 10106117059. The next prime is 10106117089. The reversal of 10106117065 is 56071160101.

It is not a de Polignac number, because 10106117065 - 2¹⁵ = 10106084297 is a prime.

It is a Duffinian 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 15 ways as a sum of consecutive naturals, for example, 904087 + ... + 915196.

It is an arithmetic number, because the mean of its divisors is an integer number (835051356).

Almost surely, 2^10106117065 is an apocalyptic number.

It is an amenable number.

10106117065 is a deficient number, since it is larger than the sum of its proper divisors (3254704631).

10106117065 is a wasteful number, since it uses less digits than its factorization.

10106117065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819400.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 10106117065 its reverse (56071160101), we get a palindrome (66177277166).

The spelling of 10106117065 in words is "ten billion, one hundred six million, one hundred seventeen thousand, sixty-five".