106002144 has 108 divisors (see below), whose sum is σ = 312294528. Its totient is φ = 34104960.

The previous prime is 106002137. The next prime is 106002167. The reversal of 106002144 is 441200601.

106002144 is a `hidden beast` number, since 1 + 0 + 600 + 21 + 44 = 666.

It is a super-2 number, since 2×106002144² = 22472909065193472, 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 an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 276577 + ... + 276959.

It is an arithmetic number, because the mean of its divisors is an integer number (2891616).

Almost surely, 2^106002144 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 106002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156147264).

106002144 is an abundant number, since it is smaller than the sum of its proper divisors (206292384).

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

106002144 is a wasteful number, since it uses less digits than its factorization.

106002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106002144 is about 10295.7342623049. The cubic root of 106002144 is about 473.2655398951.

Adding to 106002144 its reverse (441200601), we get a palindrome (547202745).

The spelling of 106002144 in words is "one hundred six million, two thousand, one hundred forty-four".