106140 has 48 divisors (see below), whose sum is σ = 312480. Its totient is φ = 26880.

The previous prime is 106129. The next prime is 106163. The reversal of 106140 is 41601.

It is a super-2 number, since 2×106140² = 22531399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

106140 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 15 ways as a sum of consecutive naturals, for example, 1710 + ... + 1770.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2¹⁰⁶¹⁴⁰ is an apocalyptic number.

106140 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 106140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

106140 is an abundant number, since it is smaller than the sum of its proper divisors (206340).

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

106140 is a wasteful number, since it uses less digits than its factorization.

106140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 106140 is about 325.7913442681. The cubic root of 106140 is about 47.3470611949.

Adding to 106140 its reverse (41601), we get a palindrome (147741).

The spelling of 106140 in words is "one hundred six thousand, one hundred forty".