106141220 has 72 divisors (see below), whose sum is σ = 240094008. Its totient is φ = 39398400.

The previous prime is 106141219. The next prime is 106141223. The reversal of 106141220 is 22141601.

It can be written as a sum of positive squares in 4 ways, for example, as 2427364 + 103713856 = 1558^2 + 10184^2 .

It is a super-2 number, since 2×106141220² = 22531917166176800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106141223) 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, 440300 + ... + 440540.

It is an arithmetic number, because the mean of its divisors is an integer number (3334639).

Almost surely, 2^106141220 is an apocalyptic number.

106141220 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 106141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120047004).

106141220 is an abundant number, since it is smaller than the sum of its proper divisors (133952788).

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

106141220 is a wasteful number, since it uses less digits than its factorization.

106141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 106141220 is about 10302.4861077315. The cubic root of 106141220 is about 473.4724260052.

Adding to 106141220 its reverse (22141601), we get a palindrome (128282821).

The spelling of 106141220 in words is "one hundred six million, one hundred forty-one thousand, two hundred twenty".