138387105 has 24 divisors (see below), whose sum is σ = 240500520. Its totient is φ = 73612800.

The previous prime is 138387091. The next prime is 138387107. The reversal of 138387105 is 501783831.

It can be written as a sum of positive squares in 4 ways, for example, as 90611361 + 47775744 = 9519^2 + 6912^2 .

It is not a de Polignac number, because 138387105 - 2⁷ = 138386977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138387105.

It is not an unprimeable number, because it can be changed into a prime (138387107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14211 + ... + 21879.

It is an arithmetic number, because the mean of its divisors is an integer number (10020855).

Almost surely, 2^138387105 is an apocalyptic number.

138387105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138387105 is a deficient number, since it is larger than the sum of its proper divisors (102113415).

138387105 is a wasteful number, since it uses less digits than its factorization.

138387105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 138387105 is about 11763.8048691739. The cubic root of 138387105 is about 517.2476680638.

It can be divided in two parts, 1383 and 87105, that added together give a palindrome (88488).

The spelling of 138387105 in words is "one hundred thirty-eight million, three hundred eighty-seven thousand, one hundred five".