34137105 has 32 divisors (see below), whose sum is σ = 58838400. Its totient is φ = 16837632.

The previous prime is 34137097. The next prime is 34137109. The reversal of 34137105 is 50173143.

It is not a de Polignac number, because 34137105 - 2³ = 34137097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34137109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13911 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (1838700).

Almost surely, 2^34137105 is an apocalyptic number.

It is an amenable number.

34137105 is a deficient number, since it is larger than the sum of its proper divisors (24701295).

34137105 is a wasteful number, since it uses less digits than its factorization.

34137105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 34137105 is about 5842.6967232606. The cubic root of 34137105 is about 324.3960539273.

The spelling of 34137105 in words is "thirty-four million, one hundred thirty-seven thousand, one hundred five".