137005105 has 8 divisors (see below), whose sum is σ = 173059200. Its totient is φ = 103835376.

The previous prime is 137005081. The next prime is 137005109. The reversal of 137005105 is 501500731.

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 137005105 - 2⁷ = 137004977 is a prime.

It is a super-2 number, since 2×137005105² = 37540797592122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137005109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720985 + ... + 721174.

It is an arithmetic number, because the mean of its divisors is an integer number (21632400).

Almost surely, 2^137005105 is an apocalyptic number.

It is an amenable number.

137005105 is a deficient number, since it is larger than the sum of its proper divisors (36054095).

137005105 is a wasteful number, since it uses less digits than its factorization.

137005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442183.

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 137005105 is about 11704.9179834803. The cubic root of 137005105 is about 515.5200766245.

Adding to 137005105 its reverse (501500731), we get a palindrome (638505836).

The spelling of 137005105 in words is "one hundred thirty-seven million, five thousand, one hundred five".