34107006221 has 12 divisors (see below), whose sum is σ = 34640307900. Its totient is φ = 33577672128.

The previous prime is 34107006179. The next prime is 34107006253. The reversal of 34107006221 is 12260070143.

It can be written as a sum of positive squares in 2 ways, for example, as 14223186121 + 19883820100 = 119261^2 + 141010^2 .

It is not a de Polignac number, because 34107006221 - 2³⁴ = 16927137037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34107006281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5080415 + ... + 5087123.

It is an arithmetic number, because the mean of its divisors is an integer number (2886692325).

Almost surely, 2^34107006221 is an apocalyptic number.

It is an amenable number.

34107006221 is a deficient number, since it is larger than the sum of its proper divisors (533301679).

34107006221 is an frugal number, since it uses more digits than its factorization.

34107006221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 34107006221 its reverse (12260070143), we get a palindrome (46367076364).

The spelling of 34107006221 in words is "thirty-four billion, one hundred seven million, six thousand, two hundred twenty-one".