107864 has 16 divisors (see below), whose sum is σ = 205800. Its totient is φ = 52992.

The previous prime is 107857. The next prime is 107867. The reversal of 107864 is 468701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107867) by changing a digit.

107864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 707 + ... + 845.

2¹⁰⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

107864 is a deficient number, since it is larger than the sum of its proper divisors (97936).

107864 is a wasteful number, since it uses less digits than its factorization.

107864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 107864 is about 328.4265519108. The cubic root of 107864 is about 47.6020336678.

The spelling of 107864 in words is "one hundred seven thousand, eight hundred sixty-four".