105540 has 24 divisors (see below), whose sum is σ = 295680. Its totient is φ = 28128.

The previous prime is 105533. The next prime is 105541. The reversal of 105540 is 45501.

105540 = T₁₄ + T₁₅ + ... + T₈₅.

It is a super-2 number, since 2×105540² = 22277383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105541) by changing a digit.

105540 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 7 ways as a sum of consecutive naturals, for example, 820 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (12320).

2¹⁰⁵⁵⁴⁰ is an apocalyptic number.

105540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105540 is an abundant number, since it is smaller than the sum of its proper divisors (190140).

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

105540 is a wasteful number, since it uses less digits than its factorization.

105540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105540 is about 324.8692044500. The cubic root of 105540 is about 47.2576763094.

The spelling of 105540 in words is "one hundred five thousand, five hundred forty".