105930 has 48 divisors (see below), whose sum is σ = 303264. Its totient is φ = 25440.

The previous prime is 105929. The next prime is 105943. The reversal of 105930 is 39501.

It is a super-2 number, since 2×105930² = 22442329800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105930.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (6318).

2¹⁰⁵⁹³⁰ is an apocalyptic number.

105930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632).

105930 is an abundant number, since it is smaller than the sum of its proper divisors (197334).

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

105930 is a wasteful number, since it uses less digits than its factorization.

105930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 105930 is about 325.4688925228. The cubic root of 105930 is about 47.3158148929.

105930 divided by its sum of digits (18) gives a palindrome (5885).

It can be divided in two parts, 1059 and 30, that added together give a square (1089 = 33²).

The spelling of 105930 in words is "one hundred five thousand, nine hundred thirty".