106050 has 48 divisors (see below), whose sum is σ = 303552. Its totient is φ = 24000.

The previous prime is 106033. The next prime is 106087. The reversal of 106050 is 50601.

It is a super-2 number, since 2×106050² = 22493205000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

106050 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 23 ways as a sum of consecutive naturals, for example, 1000 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (6324).

2¹⁰⁶⁰⁵⁰ is an apocalyptic number.

106050 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 106050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776).

106050 is an abundant number, since it is smaller than the sum of its proper divisors (197502).

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

106050 is a wasteful number, since it uses less digits than its factorization.

106050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 106050 is about 325.6531897587. The cubic root of 106050 is about 47.3336749738. Note that the first 3 decimals are identical.

Adding to 106050 its reverse (50601), we get a palindrome (156651).

The spelling of 106050 in words is "one hundred six thousand, fifty".