106503165 has 24 divisors (see below), whose sum is σ = 185328000. Its totient is φ = 56579424.

The previous prime is 106503161. The next prime is 106503203. The reversal of 106503165 is 561305601.

It is a happy number.

106503165 is a `hidden beast` number, since 1 + 0 + 650 + 3 + 1 + 6 + 5 = 666.

It is not a de Polignac number, because 106503165 - 2² = 106503161 is a prime.

It is a super-2 number, since 2×106503165² = 22685848310034450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106503161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7336 + ... + 16334.

It is an arithmetic number, because the mean of its divisors is an integer number (7722000).

Almost surely, 2^106503165 is an apocalyptic number.

106503165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106503165 is a deficient number, since it is larger than the sum of its proper divisors (78824835).

106503165 is a wasteful number, since it uses less digits than its factorization.

106503165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9273 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 106503165 is about 10320.0370638869. The cubic root of 106503165 is about 474.0100008572.

Adding to 106503165 its reverse (561305601), we get a palindrome (667808766).

The spelling of 106503165 in words is "one hundred six million, five hundred three thousand, one hundred sixty-five".