105123116603261 has 8 divisors (see below), whose sum is σ = 105369524611200. Its totient is φ = 104876720183520.

The previous prime is 105123116603257. The next prime is 105123116603269. The reversal of 105123116603261 is 162306611321501.

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

It is a cyclic number.

It is not a de Polignac number, because 105123116603261 - 2² = 105123116603257 is a prime.

It is a super-2 number, since 2×105123116603261² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105123116603269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15402650 + ... + 21153908.

It is an arithmetic number, because the mean of its divisors is an integer number (13171190576400).

Almost surely, 2^{105123116603261} is an apocalyptic number.

It is an amenable number.

105123116603261 is a deficient number, since it is larger than the sum of its proper divisors (246408007939).

105123116603261 is an equidigital number, since it uses as much as digits as its factorization.

105123116603261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794099.

The product of its (nonzero) digits is 38880, while the sum is 38.

Adding to 105123116603261 its reverse (162306611321501), we get a palindrome (267429727924762).

The spelling of 105123116603261 in words is "one hundred five trillion, one hundred twenty-three billion, one hundred sixteen million, six hundred three thousand, two hundred sixty-one".