105388844151838 has 64 divisors (see below), whose sum is σ = 173071371432960. Its totient is φ = 47837978428032.

The previous prime is 105388844151827. The next prime is 105388844151853. The reversal of 105388844151838 is 838151448883501.

105388844151838 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105388844151838² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1649065081 + ... + 1649128987.

It is an arithmetic number, because the mean of its divisors is an integer number (2704240178640).

Almost surely, 2^{105388844151838} is an apocalyptic number.

105388844151838 is a deficient number, since it is larger than the sum of its proper divisors (67682527281122).

105388844151838 is a wasteful number, since it uses less digits than its factorization.

105388844151838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67121.

The product of its (nonzero) digits is 117964800, while the sum is 67.

The spelling of 105388844151838 in words is "one hundred five trillion, three hundred eighty-eight billion, eight hundred forty-four million, one hundred fifty-one thousand, eight hundred thirty-eight".