105120 has 72 divisors (see below), whose sum is σ = 363636. Its totient is φ = 27648.

The previous prime is 105107. The next prime is 105137. The reversal of 105120 is 21501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 144 = 324^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105120² = 22100428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

105120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1404 + ... + 1476.

2¹⁰⁵¹²⁰ is an apocalyptic number.

105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181818).

105120 is an abundant number, since it is smaller than the sum of its proper divisors (258516).

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

105120 is a wasteful number, since it uses less digits than its factorization.

105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 105120 is about 324.2221460666. Note that the first 3 decimals coincide. The cubic root of 105120 is about 47.1949051285.

Adding to 105120 its reverse (21501), we get a palindrome (126621).

It can be divided in two parts, 105 and 120, that added together give a square (225 = 15²).

The spelling of 105120 in words is "one hundred five thousand, one hundred twenty".