106120 has 32 divisors (see below), whose sum is σ = 273600. Its totient is φ = 36288.

The previous prime is 106109. The next prime is 106121. The reversal of 106120 is 21601.

106120 = 77² + 78² + ... + 91².

It is a super-2 number, since 2×106120² = 22522908800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106097 and 106106.

It is not an unprimeable number, because it can be changed into a prime (106121) by changing a digit.

106120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2¹⁰⁶¹²⁰ is an apocalyptic number.

106120 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 106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

106120 is an abundant number, since it is smaller than the sum of its proper divisors (167480).

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

106120 is a wasteful number, since it uses less digits than its factorization.

106120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 106120 is about 325.7606483294. The cubic root of 106120 is about 47.3440871332.

Adding to 106120 its reverse (21601), we get a palindrome (127721).

It can be divided in two parts, 1061 and 20, that added together give a triangular number (1081 = T₄₆).

The spelling of 106120 in words is "one hundred six thousand, one hundred twenty".