105384123511 has 8 divisors (see below), whose sum is σ = 106498568624. Its totient is φ = 104270250240.

The previous prime is 105384123487. The next prime is 105384123521. The reversal of 105384123511 is 115321483501.

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 105384123511 - 2⁹ = 105384122999 is a prime.

It is a super-2 number, since 2×105384123511² (a number of 23 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 (105384123521) 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, 232756 + ... + 514726.

It is an arithmetic number, because the mean of its divisors is an integer number (13312321078).

Almost surely, 2^105384123511 is an apocalyptic number.

105384123511 is a deficient number, since it is larger than the sum of its proper divisors (1114445113).

105384123511 is an equidigital number, since it uses as much as digits as its factorization.

105384123511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285921.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 105384123511 in words is "one hundred five billion, three hundred eighty-four million, one hundred twenty-three thousand, five hundred eleven".