106612144 has 20 divisors (see below), whose sum is σ = 206745696. Its totient is φ = 53258432.

The previous prime is 106612127. The next prime is 106612147. The reversal of 106612144 is 441216601.

It is a super-2 number, since 2×106612144² = 22732298496553472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106612147) 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 3 ways as a sum of consecutive naturals, for example, 21657 + ... + 26119.

Almost surely, 2^106612144 is an apocalyptic number.

It is an amenable number.

106612144 is a deficient number, since it is larger than the sum of its proper divisors (100133552).

106612144 is a wasteful number, since it uses less digits than its factorization.

106612144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106612144 is about 10325.3156852466. The cubic root of 106612144 is about 474.1716221153.

Adding to 106612144 its reverse (441216601), we get a palindrome (547828745).

The spelling of 106612144 in words is "one hundred six million, six hundred twelve thousand, one hundred forty-four".