105123813 has 8 divisors (see below), whose sum is σ = 140219808. Its totient is φ = 70055184.

The previous prime is 105123803. The next prime is 105123817. The reversal of 105123813 is 318321501.

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

It is not a de Polignac number, because 105123813 - 2⁹ = 105123301 is a prime.

It is a super-2 number, since 2×105123813² = 22102032119317938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105123817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5106 + ... + 15372.

It is an arithmetic number, because the mean of its divisors is an integer number (17527476).

Almost surely, 2^105123813 is an apocalyptic number.

It is an amenable number.

105123813 is a deficient number, since it is larger than the sum of its proper divisors (35095995).

105123813 is a wasteful number, since it uses less digits than its factorization.

105123813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13683.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105123813 is about 10252.9904418175. The cubic root of 105123813 is about 471.9547575255.

The spelling of 105123813 in words is "one hundred five million, one hundred twenty-three thousand, eight hundred thirteen".