108407 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 96480.

The previous prime is 108401. The next prime is 108413. The reversal of 108407 is 704801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108401) and next prime (108413).

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 108407 - 2⁶ = 108343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108407.

It is not an unprimeable number, because it can be changed into a prime (108401) 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, 269 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹⁰⁸⁴⁰⁷ is an apocalyptic number.

108407 is the 269-th pentagonal number.

108407 is a deficient number, since it is larger than the sum of its proper divisors (12553).

108407 is a wasteful number, since it uses less digits than its factorization.

108407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 108407 is about 329.2521829844. The cubic root of 108407 is about 47.6817780724.

It can be divided in two parts, 108 and 407, that multiplied together give a triangular number (43956 = T₂₉₆).

The spelling of 108407 in words is "one hundred eight thousand, four hundred seven".