105040 has 40 divisors (see below), whose sum is σ = 265608. Its totient is φ = 38400.

The previous prime is 105037. The next prime is 105071. The reversal of 105040 is 40501.

105040 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 87616 = 132^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105040² = 22066803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 990 + ... + 1090.

2¹⁰⁵⁰⁴⁰ is an apocalyptic number.

105040 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 105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804).

105040 is an abundant number, since it is smaller than the sum of its proper divisors (160568).

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

105040 is a wasteful number, since it uses less digits than its factorization.

105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 105040 is about 324.0987503833. The cubic root of 105040 is about 47.1829297651.

Adding to 105040 its reverse (40501), we get a palindrome (145541).

It can be divided in two parts, 10 and 5040, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 105040 in words is "one hundred five thousand, forty".