105770 has 16 divisors (see below), whose sum is σ = 217728. Its totient is φ = 36240.

The previous prime is 105769. The next prime is 105817. The reversal of 105770 is 77501.

It is a super-2 number, since 2×105770² = 22374585800, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105770.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2¹⁰⁵⁷⁷⁰ is an apocalyptic number.

105770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105770 is an abundant number, since it is smaller than the sum of its proper divisors (111958).

It is a weird number, because it is abundant, but not a pseudoperfect number.

105770 is a wasteful number, since it uses less digits than its factorization.

105770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525.

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 105770 is about 325.2230004166. The cubic root of 105770 is about 47.2919804577.

The spelling of 105770 in words is "one hundred five thousand, seven hundred seventy".