34100 has 36 divisors (see below), whose sum is σ = 83328. Its totient is φ = 12000.

The previous prime is 34061. The next prime is 34123. The reversal of 34100 is 143.

34100 = T₉ + T₁₀ + ... + T₅₈.

It is a congruent number.

It is an unprimeable number.

34100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1085 + ... + 1115.

2³⁴¹⁰⁰ 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 34100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

34100 is an abundant number, since it is smaller than the sum of its proper divisors (49228).

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

34100 is a wasteful number, since it uses less digits than its factorization.

34100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 34100 is about 184.6618531262. The cubic root of 34100 is about 32.4278478254.

Adding to 34100 its reverse (143), we get a palindrome (34243).

The spelling of 34100 in words is "thirty-four thousand, one hundred".