106540 has 24 divisors (see below), whose sum is σ = 256032. Its totient is φ = 36480.

The previous prime is 106537. The next prime is 106541. The reversal of 106540 is 45601.

It is a super-2 number, since 2×106540² = 22701543200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (10668).

2¹⁰⁶⁵⁴⁰ is an apocalyptic number.

106540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106540 is an abundant number, since it is smaller than the sum of its proper divisors (149492).

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

106540 is a wasteful number, since it uses less digits than its factorization.

106540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 106540 is about 326.4046568295. The cubic root of 106540 is about 47.4064641317.

It can be divided in two parts, 106 and 540, that added together give a palindrome (646).

The spelling of 106540 in words is "one hundred six thousand, five hundred forty".