34000101 has 32 divisors (see below), whose sum is σ = 53452800. Its totient is φ = 21299760.

The previous prime is 34000091. The next prime is 34000117. The reversal of 34000101 is 10100043.

It is not a de Polignac number, because 34000101 - 2¹¹ = 33998053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000121) 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, 97810 + ... + 98156.

It is an arithmetic number, because the mean of its divisors is an integer number (1670400).

Almost surely, 2^34000101 is an apocalyptic number.

It is an amenable number.

34000101 is a deficient number, since it is larger than the sum of its proper divisors (19452699).

34000101 is a wasteful number, since it uses less digits than its factorization.

34000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 34000101 is about 5830.9605555174. The cubic root of 34000101 is about 323.9615009125.

Adding to 34000101 its reverse (10100043), we get a palindrome (44100144).

The spelling of 34000101 in words is "thirty-four million, one hundred one", and thus it is an aban number.