105310000001 has 16 divisors (see below), whose sum is σ = 111901574400. Its totient is φ = 98823846528.

The previous prime is 105309999997. The next prime is 105310000021. The reversal of 105310000001 is 100000013501.

It is a cyclic number.

It is not a de Polignac number, because 105310000001 - 2² = 105309999997 is a prime.

It is a super-2 number, since 2×105310000001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105310000021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12208376 + ... + 12216998.

It is an arithmetic number, because the mean of its divisors is an integer number (6993848400).

Almost surely, 2^105310000001 is an apocalyptic number.

It is an amenable number.

105310000001 is a deficient number, since it is larger than the sum of its proper divisors (6591574399).

105310000001 is a wasteful number, since it uses less digits than its factorization.

105310000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14648.

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 105310000001 its reverse (100000013501), we get a palindrome (205310013502).

The spelling of 105310000001 in words is "one hundred five billion, three hundred ten million, one", and thus it is an aban number.