34100164105153 has 2 divisors, whose sum is σ = 34100164105154. Its totient is φ = 34100164105152.

The previous prime is 34100164105129. The next prime is 34100164105211. The reversal of 34100164105153 is 35150146100143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25553358631089 + 8546805474064 = 5055033^2 + 2923492^2 .

It is a cyclic number.

It is not a de Polignac number, because 34100164105153 - 2⁵ = 34100164105121 is a prime.

It is not a weakly prime, because it can be changed into another prime (34100464105153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17050082052576 + 17050082052577.

It is an arithmetic number, because the mean of its divisors is an integer number (17050082052577).

Almost surely, 2^{34100164105153} is an apocalyptic number.

It is an amenable number.

34100164105153 is a deficient number, since it is larger than the sum of its proper divisors (1).

34100164105153 is an equidigital number, since it uses as much as digits as its factorization.

34100164105153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 34100164105153 in words is "thirty-four trillion, one hundred billion, one hundred sixty-four million, one hundred five thousand, one hundred fifty-three".