105540110313 has 8 divisors (see below), whose sum is σ = 153512887776. Its totient is φ = 63963703200.

The previous prime is 105540110279. The next prime is 105540110339. The reversal of 105540110313 is 313011045501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105540110313 - 2⁸ = 105540110057 is a prime.

It is a super-2 number, since 2×105540110313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105540110213) 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 in 7 ways as a sum of consecutive naturals, for example, 1599092548 + ... + 1599092613.

It is an arithmetic number, because the mean of its divisors is an integer number (19189110972).

Almost surely, 2^105540110313 is an apocalyptic number.

It is an amenable number.

105540110313 is a deficient number, since it is larger than the sum of its proper divisors (47972777463).

105540110313 is a wasteful number, since it uses less digits than its factorization.

105540110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198185175.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 105540110313 its reverse (313011045501), we get a palindrome (418551155814).

The spelling of 105540110313 in words is "one hundred five billion, five hundred forty million, one hundred ten thousand, three hundred thirteen".