106110 has 40 divisors (see below), whose sum is σ = 287496. Its totient is φ = 28080.

The previous prime is 106109. The next prime is 106121. The reversal of 106110 is 11601.

It is a super-2 number, since 2×106110² = 22518664200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 106092 and 106101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 745 + ... + 875.

2¹⁰⁶¹¹⁰ is an apocalyptic number.

106110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143748).

106110 is an abundant number, since it is smaller than the sum of its proper divisors (181386).

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

106110 is a wasteful number, since it uses less digits than its factorization.

106110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 106110 is about 325.7452992754. The cubic root of 106110 is about 47.3425999623.

Adding to 106110 its reverse (11601), we get a palindrome (117711).

It can be divided in two parts, 106 and 110, that added together give a cube (216 = 6³).

The spelling of 106110 in words is "one hundred six thousand, one hundred ten".