106242220 has 48 divisors (see below), whose sum is σ = 255644928. Its totient is φ = 36331200.

The previous prime is 106242217. The next prime is 106242223. The reversal of 106242220 is 22242601.

It is an interprime number because it is at equal distance from previous prime (106242217) and next prime (106242223).

It is a super-2 number, since 2×106242220² = 22574818621056800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106242223) 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, 72495 + ... + 73945.

It is an arithmetic number, because the mean of its divisors is an integer number (5325936).

Almost surely, 2^106242220 is an apocalyptic number.

106242220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106242220 is an abundant number, since it is smaller than the sum of its proper divisors (149402708).

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

106242220 is a wasteful number, since it uses less digits than its factorization.

106242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 106242220 is about 10307.3866717030. The cubic root of 106242220 is about 473.6225579235.

Adding to 106242220 its reverse (22242601), we get a palindrome (128484821).

The spelling of 106242220 in words is "one hundred six million, two hundred forty-two thousand, two hundred twenty".