105678 has 32 divisors (see below), whose sum is σ = 249600. Its totient is φ = 33048.

The previous prime is 105673. The next prime is 105683. The reversal of 105678 is 876501.

It is an interprime number because it is at equal distance from previous prime (105673) and next prime (105683).

It is a super-2 number, since 2×105678² = 22335679368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105673) 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, 975 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2¹⁰⁵⁶⁷⁸ is an apocalyptic number.

105678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124800).

105678 is an abundant number, since it is smaller than the sum of its proper divisors (143922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105678 is a wasteful number, since it uses less digits than its factorization.

105678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105678 is about 325.0815282356. The cubic root of 105678 is about 47.2782647718.

The spelling of 105678 in words is "one hundred five thousand, six hundred seventy-eight".