107137 has 2 divisors, whose sum is σ = 107138. Its totient is φ = 107136.

The previous prime is 107123. The next prime is 107171. The reversal of 107137 is 731701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103041 + 4096 = 321^2 + 64^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107137 is a prime.

It is a super-2 number, since 2×107137² = 22956673538, which contains 22 as substring.

107137 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53568 + 53569.

It is an arithmetic number, because the mean of its divisors is an integer number (53569).

2¹⁰⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

107137 is a deficient number, since it is larger than the sum of its proper divisors (1).

107137 is an equidigital number, since it uses as much as digits as its factorization.

107137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 107137 is about 327.3178882982. The cubic root of 107137 is about 47.4948470864.

Adding to 107137 its reverse (731701), we get a palindrome (838838).

The spelling of 107137 in words is "one hundred seven thousand, one hundred thirty-seven".