10106101165 has 16 divisors (see below), whose sum is σ = 12306526848. Its totient is φ = 7965936576.

The previous prime is 10106101151. The next prime is 10106101171. The reversal of 10106101165 is 56110160101.

It is a cyclic number.

It is not a de Polignac number, because 10106101165 - 2¹¹ = 10106099117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122152 + ... + 187438.

It is an arithmetic number, because the mean of its divisors is an integer number (769157928).

Almost surely, 2^10106101165 is an apocalyptic number.

It is an amenable number.

10106101165 is a deficient number, since it is larger than the sum of its proper divisors (2200425683).

10106101165 is an equidigital number, since it uses as much as digits as its factorization.

10106101165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65748.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 10106101165 its reverse (56110160101), we get a palindrome (66216261266).

The spelling of 10106101165 in words is "ten billion, one hundred six million, one hundred one thousand, one hundred sixty-five".