107361 has 12 divisors (see below), whose sum is σ = 158080. Its totient is φ = 70200.

The previous prime is 107357. The next prime is 107377. The reversal of 107361 is 163701.

It is not a de Polignac number, because 107361 - 2² = 107357 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107361.

It is not an unprimeable number, because it can be changed into a prime (107351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636 + ... + 786.

2¹⁰⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

107361 is a deficient number, since it is larger than the sum of its proper divisors (50719).

107361 is a wasteful number, since it uses less digits than its factorization.

107361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107361 is about 327.6598846365. The cubic root of 107361 is about 47.5279244853.

The spelling of 107361 in words is "one hundred seven thousand, three hundred sixty-one".