106864 has 10 divisors (see below), whose sum is σ = 207080. Its totient is φ = 53424.

The previous prime is 106861. The next prime is 106867. The reversal of 106864 is 468601.

It is an interprime number because it is at equal distance from previous prime (106861) and next prime (106867).

It is a super-2 number, since 2×106864² = 22839828992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3324 + ... + 3355.

It is an arithmetic number, because the mean of its divisors is an integer number (20708).

2¹⁰⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

106864 is a deficient number, since it is larger than the sum of its proper divisors (100216).

106864 is an equidigital number, since it uses as much as digits as its factorization.

106864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106864 is about 326.9005965122. The cubic root of 106864 is about 47.4544716108.

The spelling of 106864 in words is "one hundred six thousand, eight hundred sixty-four".