105346052123 has 32 divisors (see below), whose sum is σ = 120354595200. Its totient is φ = 91524787200.

The previous prime is 105346052111. The next prime is 105346052129. The reversal of 105346052123 is 321250643501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105346052123 - 2³⁴ = 88166182939 is a prime.

It is a super-2 number, since 2×105346052123² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105346052123.

It is not an unprimeable number, because it can be changed into a prime (105346052129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2360153 + ... + 2404373.

It is an arithmetic number, because the mean of its divisors is an integer number (3761081100).

Almost surely, 2^105346052123 is an apocalyptic number.

105346052123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105346052123 is a deficient number, since it is larger than the sum of its proper divisors (15008543077).

105346052123 is a wasteful number, since it uses less digits than its factorization.

105346052123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44423.

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 105346052123 its reverse (321250643501), we get a palindrome (426596695624).

The spelling of 105346052123 in words is "one hundred five billion, three hundred forty-six million, fifty-two thousand, one hundred twenty-three".