107109 has 8 divisors (see below), whose sum is σ = 158720. Its totient is φ = 71388.

The previous prime is 107101. The next prime is 107119. The reversal of 107109 is 901701.

It is not a de Polignac number, because 107109 - 2³ = 107101 is a prime.

It is a super-2 number, since 2×107109² = 22944675762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

107109 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 107091 and 107100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107101) 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, 1957 + ... + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (19840).

2¹⁰⁷¹⁰⁹ is an apocalyptic number.

It is an amenable number.

107109 is a deficient number, since it is larger than the sum of its proper divisors (51611).

107109 is an equidigital number, since it uses as much as digits as its factorization.

107109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 107109 is about 327.2751136277. The cubic root of 107109 is about 47.4907091709.

It can be divided in two parts, 107 and 109, that added together give a cube (216 = 6³).

The spelling of 107109 in words is "one hundred seven thousand, one hundred nine".