105676 has 12 divisors (see below), whose sum is σ = 191520. Its totient is φ = 50960.

The previous prime is 105673. The next prime is 105683. The reversal of 105676 is 676501.

105676 = T₂₉ + T₃₀ + ... + T₈₆.

It is a super-2 number, since 2×105676² = 22334833952, which contains 22 as substring.

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

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105676.

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 3 ways as a sum of consecutive naturals, for example, 340 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2¹⁰⁵⁶⁷⁶ is an apocalyptic number.

It is an amenable number.

105676 is a deficient number, since it is larger than the sum of its proper divisors (85844).

105676 is a wasteful number, since it uses less digits than its factorization.

105676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105676 is about 325.0784520697. The cubic root of 105676 is about 47.2779665163.

The spelling of 105676 in words is "one hundred five thousand, six hundred seventy-six".