106722 has 54 divisors (see below), whose sum is σ = 295659. Its totient is φ = 27720.

The previous prime is 106721. The next prime is 106727. The reversal of 106722 is 227601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 53361 = 231^2 + 231^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=231.

It is a super-2 number, since 2×106722² = 22779170568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 106695 and 106704.

It is not an unprimeable number, because it can be changed into a prime (106721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9697 + ... + 9707.

2¹⁰⁶⁷²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106722

106722 is an abundant number, since it is smaller than the sum of its proper divisors (188937).

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

106722 is a wasteful number, since it uses less digits than its factorization.

106722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106722 is about 326.6833329082. The cubic root of 106722 is about 47.4334432574.

Multiplying 106722 by its sum of digits (18), we get a square (1920996 = 1386²).

106722 divided by its sum of digits (18) gives a square (5929 = 77²).

It can be divided in two parts, 1067 and 22, that added together give a square (1089 = 33²).

The spelling of 106722 in words is "one hundred six thousand, seven hundred twenty-two".