345100 has 72 divisors (see below), whose sum is σ = 937440. Its totient is φ = 107520.

The previous prime is 345089. The next prime is 345109. The reversal of 345100 is 1543.

345100 = T₂₁₅ + T₂₁₆ + ... + T₂₂₈.

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 23 ways as a sum of consecutive naturals, for example, 11886 + ... + 11914.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2³⁴⁵¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

345100 is an abundant number, since it is smaller than the sum of its proper divisors (592340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345100 is a wasteful number, since it uses less digits than its factorization.

345100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 345100 is about 587.4521257090. The cubic root of 345100 is about 70.1425665853.

Adding to 345100 its reverse (1543), we get a palindrome (346643).

The spelling of 345100 in words is "three hundred forty-five thousand, one hundred".