106726224 has 80 divisors (see below), whose sum is σ = 303266304. Its totient is φ = 32073600.

The previous prime is 106726201. The next prime is 106726229. The reversal of 106726224 is 422627601.

It is a super-2 number, since 2×106726224² = 22780973778596352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106726191 and 106726200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106726229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68397 + ... + 69939.

Almost surely, 2^106726224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106726224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151633152).

106726224 is an abundant number, since it is smaller than the sum of its proper divisors (196540080).

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

106726224 is a wasteful number, since it uses less digits than its factorization.

106726224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 106726224 is about 10330.8384945270. The cubic root of 106726224 is about 474.3406904593.

The spelling of 106726224 in words is "one hundred six million, seven hundred twenty-six thousand, two hundred twenty-four".