106220340 has 144 divisors (see below), whose sum is σ = 339852240. Its totient is φ = 26818560.

The previous prime is 106220333. The next prime is 106220341. The reversal of 106220340 is 43022601.

It is a happy number.

106220340 is a `hidden beast` number, since 1 + 0 + 622 + 0 + 3 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7257636 + 98962704 = 2694^2 + 9948^2 .

It is a super-2 number, since 2×106220340² = 22565521259431200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106220341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272866 + ... + 273254.

It is an arithmetic number, because the mean of its divisors is an integer number (2360085).

Almost surely, 2^106220340 is an apocalyptic number.

106220340 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 106220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169926120).

106220340 is an abundant number, since it is smaller than the sum of its proper divisors (233631900).

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

106220340 is a wasteful number, since it uses less digits than its factorization.

106220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106220340 is about 10306.3252422966. The cubic root of 106220340 is about 473.5900423723.

Adding to 106220340 its reverse (43022601), we get a palindrome (149242941).

The spelling of 106220340 in words is "one hundred six million, two hundred twenty thousand, three hundred forty".