38129105 has 24 divisors (see below), whose sum is σ = 56033280. Its totient is φ = 24766560.

The previous prime is 38129053. The next prime is 38129107. The reversal of 38129105 is 50192183.

38129105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38129105 - 2⁶ = 38129041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38129107) 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 23 ways as a sum of consecutive naturals, for example, 560 + ... + 8750.

It is an arithmetic number, because the mean of its divisors is an integer number (2334720).

Almost surely, 2^38129105 is an apocalyptic number.

38129105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38129105 is a deficient number, since it is larger than the sum of its proper divisors (17904175).

38129105 is a wasteful number, since it uses less digits than its factorization.

38129105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 38129105 is about 6174.8769218503. The cubic root of 38129105 is about 336.5778540145.

The spelling of 38129105 in words is "thirty-eight million, one hundred twenty-nine thousand, one hundred five".