105870 has 16 divisors (see below), whose sum is σ = 254160. Its totient is φ = 28224.

The previous prime is 105863. The next prime is 105871. The reversal of 105870 is 78501.

It is a happy number.

It is a super-2 number, since 2×105870² = 22416913800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105870.

It is not an unprimeable number, because it can be changed into a prime (105871) by changing a digit.

105870 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 7 ways as a sum of consecutive naturals, for example, 1735 + ... + 1794.

It is an arithmetic number, because the mean of its divisors is an integer number (15885).

2¹⁰⁵⁸⁷⁰ is an apocalyptic number.

105870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105870 is an abundant number, since it is smaller than the sum of its proper divisors (148290).

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

105870 is a wasteful number, since it uses less digits than its factorization.

105870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105870 is about 325.3767047593. The cubic root of 105870 is about 47.3068797941.

It can be divided in two parts, 1058 and 70, that added together give a triangular number (1128 = T₄₇).

The spelling of 105870 in words is "one hundred five thousand, eight hundred seventy".