106950 has 48 divisors (see below), whose sum is σ = 285696. Its totient is φ = 26400.

The previous prime is 106949. The next prime is 106957. The reversal of 106950 is 59601.

It is a super-2 number, since 2×106950² = 22876605000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3435 + ... + 3465.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2¹⁰⁶⁹⁵⁰ is an apocalyptic number.

106950 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 106950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848).

106950 is an abundant number, since it is smaller than the sum of its proper divisors (178746).

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

106950 is a wasteful number, since it uses less digits than its factorization.

106950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 106950 is about 327.0321085154. The cubic root of 106950 is about 47.4671980365.

Subtracting from 106950 its sum of digits (21), we obtain a square (106929 = 327²).

The spelling of 106950 in words is "one hundred six thousand, nine hundred fifty".