107145 has 12 divisors (see below), whose sum is σ = 185796. Its totient is φ = 57120.

The previous prime is 107137. The next prime is 107171. The reversal of 107145 is 541701.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 95481 = 108^2 + 309^2 .

It is not a de Polignac number, because 107145 - 2³ = 107137 is a prime.

It is a super-2 number, since 2×107145² = 22960102050, which contains 22 as substring.

107145 is a lucky number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (15483).

2¹⁰⁷¹⁴⁵ is an apocalyptic number.

107145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107145 is a deficient number, since it is larger than the sum of its proper divisors (78651).

107145 is a wasteful number, since it uses less digits than its factorization.

107145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107145 is about 327.3301086060. The cubic root of 107145 is about 47.4960292156.

Adding to 107145 its reverse (541701), we get a palindrome (648846).

It can be divided in two parts, 107 and 145, that added together give a palindrome (252).

The spelling of 107145 in words is "one hundred seven thousand, one hundred forty-five".