107129 has 4 divisors (see below), whose sum is σ = 116880. Its totient is φ = 97380.

The previous prime is 107123. The next prime is 107137. The reversal of 107129 is 921701.

107129 = 3² + 4² + ... + 68².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 921701 = 11 ⋅83791.

It is a cyclic number.

It is not a de Polignac number, because 107129 - 2¹⁶ = 41593 is a prime.

It is a super-2 number, since 2×107129² = 22953245282, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 107129.

It is not an unprimeable number, because it can be changed into a prime (107123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4859 + ... + 4880.

It is an arithmetic number, because the mean of its divisors is an integer number (29220).

2¹⁰⁷¹²⁹ is an apocalyptic number.

It is an amenable number.

107129 is a deficient number, since it is larger than the sum of its proper divisors (9751).

107129 is an equidigital number, since it uses as much as digits as its factorization.

107129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 107129 is about 327.3056675342. The cubic root of 107129 is about 47.4936648984.

The spelling of 107129 in words is "one hundred seven thousand, one hundred twenty-nine".