37138105 has 8 divisors (see below), whose sum is σ = 44665992. Its totient is φ = 29643648.

The previous prime is 37138091. The next prime is 37138117. The reversal of 37138105 is 50183173.

It can be written as a sum of positive squares in 4 ways, for example, as 12694969 + 24443136 = 3563^2 + 4944^2 .

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 37138105 - 2¹³ = 37129913 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5842 + ... + 10411.

It is an arithmetic number, because the mean of its divisors is an integer number (5583249).

Almost surely, 2^37138105 is an apocalyptic number.

It is an amenable number.

37138105 is a deficient number, since it is larger than the sum of its proper divisors (7527887).

37138105 is a wasteful number, since it uses less digits than its factorization.

37138105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16715.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 37138105 is about 6094.1041179159. The cubic root of 37138105 is about 333.6362618418.

The spelling of 37138105 in words is "thirty-seven million, one hundred thirty-eight thousand, one hundred five".