107331 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 57888.

The previous prime is 107323. The next prime is 107339. The reversal of 107331 is 133701.

It is an interprime number because it is at equal distance from previous prime (107323) and next prime (107339).

It is not a de Polignac number, because 107331 - 2³ = 107323 is a prime.

It is a super-2 number, since 2×107331² = 23039887122, which contains 22 as substring.

107331 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 107331.

It is not an unprimeable number, because it can be changed into a prime (107339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹⁰⁷³³¹ is an apocalyptic number.

107331 is a deficient number, since it is larger than the sum of its proper divisors (65469).

107331 is a wasteful number, since it uses less digits than its factorization.

107331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 107331 is about 327.6141022606. The cubic root of 107331 is about 47.5234971465.

The spelling of 107331 in words is "one hundred seven thousand, three hundred thirty-one".