105312642123 has 8 divisors (see below), whose sum is σ = 151218152848. Its totient is φ = 64807779744.

The previous prime is 105312642119. The next prime is 105312642137. The reversal of 105312642123 is 321246213501.

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

It is not a de Polignac number, because 105312642123 - 2² = 105312642119 is a prime.

It is a super-2 number, since 2×105312642123² (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 (105312642173) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1350162040 + ... + 1350162117.

It is an arithmetic number, because the mean of its divisors is an integer number (18902269106).

Almost surely, 2^105312642123 is an apocalyptic number.

105312642123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105312642123 is a deficient number, since it is larger than the sum of its proper divisors (45905510725).

105312642123 is a wasteful number, since it uses less digits than its factorization.

105312642123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700324173.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 105312642123 its reverse (321246213501), we get a palindrome (426558855624).

The spelling of 105312642123 in words is "one hundred five billion, three hundred twelve million, six hundred forty-two thousand, one hundred twenty-three".