106042144 has 48 divisors (see below), whose sum is σ = 234626112. Its totient is φ = 46810368.

The previous prime is 106042129. The next prime is 106042147. The reversal of 106042144 is 441240601.

It is a super-2 number, since 2×106042144² = 22489872608233472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106042147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4027 + ... + 15109.

It is an arithmetic number, because the mean of its divisors is an integer number (4888044).

Almost surely, 2^106042144 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 106042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117313056).

106042144 is an abundant number, since it is smaller than the sum of its proper divisors (128583968).

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

106042144 is a wasteful number, since it uses less digits than its factorization.

106042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 106042144 is about 10297.6766311630. The cubic root of 106042144 is about 473.3250614614.

Adding to 106042144 its reverse (441240601), we get a palindrome (547282745).

The spelling of 106042144 in words is "one hundred six million, forty-two thousand, one hundred forty-four".