108345 has 16 divisors (see below), whose sum is σ = 179712. Its totient is φ = 55680.

The previous prime is 108343. The next prime is 108347. The reversal of 108345 is 543801.

108345 is a nontrivial binomial coefficient, being equal to C(466, 2).

It is an interprime number because it is at equal distance from previous prime (108343) and next prime (108347).

It is not a de Polignac number, because 108345 - 2¹ = 108343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2¹⁰⁸³⁴⁵ is an apocalyptic number.

108345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108345 is the 465-th triangular number and also the 233-rd hexagonal number.

It is an amenable number.

108345 is a deficient number, since it is larger than the sum of its proper divisors (71367).

108345 is a wasteful number, since it uses less digits than its factorization.

108345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 108345 is about 329.1580167640. The cubic root of 108345 is about 47.6726863041.

It can be divided in two parts, 1083 and 45, that added together give a triangular number (1128 = T₄₇).

The spelling of 108345 in words is "one hundred eight thousand, three hundred forty-five".