10340310105 has 24 divisors (see below), whose sum is σ = 17939687688. Its totient is φ = 5509760256.

The previous prime is 10340310073. The next prime is 10340310107. The reversal of 10340310105 is 50101304301.

10340310105 is a `hidden beast` number, since 1 + 0 + 340 + 310 + 10 + 5 = 666.

10340310105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6121028169 + 4219281936 = 78237^2 + 64956^2 .

It is not a de Polignac number, because 10340310105 - 2⁵ = 10340310073 is a prime.

It is a super-2 number, since 2×10340310105² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10340310107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55932 + ... + 154301.

It is an arithmetic number, because the mean of its divisors is an integer number (747486987).

Almost surely, 2^10340310105 is an apocalyptic number.

10340310105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10340310105 is a deficient number, since it is larger than the sum of its proper divisors (7599377583).

10340310105 is a wasteful number, since it uses less digits than its factorization.

10340310105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211337 (or 211334 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10340310105 its reverse (50101304301), we get a palindrome (60441614406).

The spelling of 10340310105 in words is "ten billion, three hundred forty million, three hundred ten thousand, one hundred five".