345105 has 12 divisors (see below), whose sum is σ = 598260. Its totient is φ = 184032.

The previous prime is 345089. The next prime is 345109. The reversal of 345105 is 501543.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 103041 = 492^2 + 321^2 .

It is not a de Polignac number, because 345105 - 2⁴ = 345089 is a prime.

It is a super-2 number, since 2×345105² = 238194922050, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345105.

It is not an unprimeable number, because it can be changed into a prime (345109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3790 + ... + 3879.

It is an arithmetic number, because the mean of its divisors is an integer number (49855).

2³⁴⁵¹⁰⁵ is an apocalyptic number.

It is an amenable number.

345105 is a deficient number, since it is larger than the sum of its proper divisors (253155).

345105 is a wasteful number, since it uses less digits than its factorization.

345105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 345105 is about 587.4563813595. The cubic root of 345105 is about 70.1429053384.

Adding to 345105 its reverse (501543), we get a palindrome (846648).

The spelling of 345105 in words is "three hundred forty-five thousand, one hundred five".