106520 has 16 divisors (see below), whose sum is σ = 239760. Its totient is φ = 42592.

The previous prime is 106501. The next prime is 106531. The reversal of 106520 is 25601.

106520 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×106520² = 22693020800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106495 and 106504.

It is a congruent number.

It is an unprimeable number.

106520 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1292 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (14985).

2¹⁰⁶⁵²⁰ is an apocalyptic number.

106520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106520 is an abundant number, since it is smaller than the sum of its proper divisors (133240).

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

106520 is a wasteful number, since it uses less digits than its factorization.

106520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 106520 is about 326.3740185738. The cubic root of 106520 is about 47.4034975195.

It can be divided in two parts, 106 and 520, that added together give a palindrome (626).

The spelling of 106520 in words is "one hundred six thousand, five hundred twenty".