34334220105 has 48 divisors (see below), whose sum is σ = 61455725760. Its totient is φ = 17721535104.

The previous prime is 34334220101. The next prime is 34334220121. The reversal of 34334220105 is 50102243343.

34334220105 is a `hidden beast` number, since 3 + 4 + 334 + 220 + 105 = 666.

It is not a de Polignac number, because 34334220105 - 2² = 34334220101 is a prime.

It is a super-2 number, since 2×34334220105² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34334220101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129522 + ... + 292308.

It is an arithmetic number, because the mean of its divisors is an integer number (1280327620).

Almost surely, 2^34334220105 is an apocalyptic number.

It is an amenable number.

34334220105 is a deficient number, since it is larger than the sum of its proper divisors (27121505655).

34334220105 is a wasteful number, since it uses less digits than its factorization.

34334220105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162950 (or 162947 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34334220105 its reverse (50102243343), we get a palindrome (84436463448).

The spelling of 34334220105 in words is "thirty-four billion, three hundred thirty-four million, two hundred twenty thousand, one hundred five".