10034334105 has 16 divisors (see below), whose sum is σ = 16125666624. Its totient is φ = 5328067520.

The previous prime is 10034334091. The next prime is 10034334119. The reversal of 10034334105 is 50143343001.

It is a happy number.

10034334105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10034334091) and next prime (10034334119).

It is not a de Polignac number, because 10034334105 - 2⁶ = 10034334041 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470066 + ... + 1476875.

It is an arithmetic number, because the mean of its divisors is an integer number (1007854164).

Almost surely, 2^10034334105 is an apocalyptic number.

10034334105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10034334105 is a deficient number, since it is larger than the sum of its proper divisors (6091332519).

10034334105 is a wasteful number, since it uses less digits than its factorization.

10034334105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947176.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10034334105 its reverse (50143343001), we get a palindrome (60177677106).

The spelling of 10034334105 in words is "ten billion, thirty-four million, three hundred thirty-four thousand, one hundred five".