106501101165 has 24 divisors (see below), whose sum is σ = 184614433848. Its totient is φ = 56796733440.

The previous prime is 106501101163. The next prime is 106501101197. The reversal of 106501101165 is 561101105601.

106501101165 is a `hidden beast` number, since 1 + 0 + 650 + 1 + 1 + 0 + 1 + 1 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1598960169 + 104902140996 = 39987^2 + 323886^2 .

It is not a de Polignac number, because 106501101165 - 2¹ = 106501101163 is a prime.

It is a super-2 number, since 2×106501101165² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106501101163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666685 + ... + 810845.

It is an arithmetic number, because the mean of its divisors is an integer number (7692268077).

Almost surely, 2^106501101165 is an apocalyptic number.

106501101165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106501101165 is a deficient number, since it is larger than the sum of its proper divisors (78113332683).

106501101165 is a wasteful number, since it uses less digits than its factorization.

106501101165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160589 (or 160586 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 106501101165 its reverse (561101105601), we get a palindrome (667602206766).

The spelling of 106501101165 in words is "one hundred six billion, five hundred one million, one hundred one thousand, one hundred sixty-five".