105388123077084 has 384 divisors, whose sum is σ = 264610503843840. Its totient is φ = 32596078040064.

The previous prime is 105388123077071. The next prime is 105388123077113. The reversal of 105388123077084 is 480770321883501.

It is a super-2 number, since 2×105388123077084² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 132231019774 + ... + 132231020570.

It is an arithmetic number, because the mean of its divisors is an integer number (689089853760).

Almost surely, 2^{105388123077084} is an apocalyptic number.

It is an amenable number.

105388123077084 is an abundant number, since it is smaller than the sum of its proper divisors (159222380766756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105388123077084 is a wasteful number, since it uses less digits than its factorization.

105388123077084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 105388123077084 in words is "one hundred five trillion, three hundred eighty-eight billion, one hundred twenty-three million, seventy-seven thousand, eighty-four".